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Is the difference of two irrational numbers always irrational?
Yes, the difference of two irrational numbers is not always irrational. For example, the difference between the irrational number √2 and its negative (-√2) is a rational number (0). Therefore, the difference of two irrational numbers can be rational or irrational, depending on the specific numbers being subtracted. **
Is the difference between two irrational numbers always irrational?
No, the difference between two irrational numbers is not always irrational. For example, if you subtract the irrational number √2 from itself, you get 0, which is a rational number. So, it is possible for the difference between two irrational numbers to be rational. **
HARPERCOLLINS Predictably Irrational: The Hidden Forces that Shape Our Decisions by Dan Ariely
Why do smart people make irrational decisions every day? The answers will surprise you. Predictably Irrational is an intriguing, witty and utterly original look at why we all make illogical decisions. Why can a 50p aspirin do what a 5p aspirin can't? If an item is "free" it must be a bargain, right? Why is everything relative, even when it shouldn't be? How do our expectations influence our actual opinions and decisions? In this astounding book, behavioural economist Dan Ariely cuts to the heart of our strange behaviour, demonstrating how irrationality often supplants rational thought and that the reason for this is embedded in the very structure of our minds. Predicatably Irrational brilliantly blends everyday experiences with a series of illuminating and often surprising experiments, that will change your understanding of human behaviour. And, by recognising these patterns, Ariely shows that we can make better decisions in business, in matters of collective welfare, and in our everyday lives from drinking coffee to losing weight, buying a car to choosing a romantic partner.
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Various Talk Like TED, Predictably Irrational Dan Ariely, Creative Confidence 3 Books Set
Description:. Condition: BRAND NEW. Format: Paperback. alk Like TED: The 9 Public Speaking Secrets of the World's Top Minds.... TED Talks have redefined the elements of a successful presentation and. become the gold standard for public speaking around the world. And yet. the techniques that top TED speakers use are the same ones that will. make any presentation more dynamic, fire up any team, and give anyone. the confidence to overcome their fear of public. speaking.Communications coach and bestselling author of The. Presentation Secrets of Steve Jobs, Carmine Gallo has broken down the. top TED Talks and interviewed the most popular TED presenters to. uncover the nine secrets of all successful TED presentations. From. 'Unleashing the Master Within' and 'Delivering Jaw Dropping Moments'. to 'Sticking to the 18-minute Rule' Gallo provides a step-by-step. method that makes it possible for anyone to create, design, and. deliver a TED-style presentation that is engaging, persuasive, and. memorable...... Predictably Irrational: The Hidden Forces That Shape Our Decisions ... Why do smart people make irrational decisions every day? The answers. will surprise you. Predictably Irrational is an intriguing, witty and. utterly original look at why we all make illogical decisions.Why can a. 50p aspirin do what a 5p aspirin can't? If an item is "free" it must. be a bargain, right? Why is everything relative, even when it. shouldn't be? How do our expectations influence our actual opinions. and decisions?In this astounding book, behavioural economist Dan. Ariely cuts to the heart of our strange behaviour, demonstrating how. irrationality often supplants rational thought and that the reason for. this is embedded in the very structure of our minds..... Creative Confidence: Unleashing the Creative Potential within Us All.... A powerful and inspiring book from the founders of IDEO, the. award-winning design firm, on unleashing the creativity that lies. within each and every one of us.Too often, companies and individuals. assume that creativity and innovation are the domain of the ‘creative. types’. But two of the foremost experts in innovation, design and. creativity on the planet show us that each and every one of us is. creative.In an entertaining and inspiring narrative that draws on. countless stories from their work at IDEO, and with many of the. world's top companies and design firms, David and Tom Kelley identify. the principles and strategies that will allow us to tap into our. creative potential in our work lives, and in our personal lives, allow. us to think outside the box in terms of how we approach and solve. problems...... Title. Talk Like TED, Predictably Irrational Dan Ariely,Creative Confidence 3 Books Set. Delivery. Content. Reviews
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Pan/Harper ltd Talk Like TED, Predictably Irrational, Creative Confidence 3 Books Collection SetTalk Like TED, Predictably Irrational, Creative Confidence 3 Books Collection Set: Description: 1) Talk Like TED: The 9 Public Speaking Secrets of the World's Top Minds TED Talks have redefined the elements of a successful presentation and become the gold standard for public speaking around the world. And yet the techniques that top TED speakers use are the same ones that will make any presentation more dynamic, fire up any team, and give anyone the confidence to overcome their fear of public speaking.Communications coach and bestselling author of The Presentation Secrets of Steve Jobs, Carmine Gallo has broken down the top TED Talks and interviewed the most popular TED presenters to uncover the nine secrets of all successful TED presentations. 2) Predictably Irrational: The Hidden Forces That Shape Our Decisions Why do smart people make irrational decisions every day? The answers will surprise you. Predictably Irrational is an intriguing, witty and utterly original look at why we all make illogical decisions.Why can a 50p aspirin do what a 5p aspirin can't? If an item is "free" it must be a bargain, right? Why is everything relative, even when it shouldn't be? How do our expectations influence our actual opinions and decisions?In this astounding book, behavioural economist Dan Ariely cuts to the heart of our strange behaviour, demonstrating how irrationality often supplants rational thought and that the reason for this is embedded in the very structure of our minds. 3) Creative Confidence: Unleashing the Creative Potential within Us All A powerful and inspiring book from the founders of IDEO, the award-winning design firm, on unleashing the creativity that lies within each and every one of us.Too often, companies and individuals assume that creativity and innovation are the domain of the ‘creative types’. But two of the foremost experts in innovation, design and creativity on the planet show us that each and every one of us is creative.In an entertaining and inspiring narrative that draws on countless stories from their work at IDEO.8,99 £*Shipping: 2,99 £Secure redirect to the provider
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DanAriely The (Honest) Truth About Dishonesty & Predictably Irrational 3-Book Set by Dan Ariely - Non Fiction - PaperbackTitles in This Set:. The (Honest) Truth About Dishonesty. Predictably Irrational. Behavioural Economics Saved My Dog Condition: BRAND NEW. Format: Paperback. ISBN: 9780007477333 9781780748177 Overview:. Delve into three of Dan Ariely’s most influential explorations of how we think, decide, and act. This 3 Book Collection brings together The (Honest) Truth About Dishonesty, Predictably Irrational, and Behavioural Economics Saved My Dog for a comprehensive introduction to behavioural economics and everyday psychology. Ariely’s blend of rigorous experiments, sharp storytelling, and practical insights makes complex ideas approachable for curious readers, students, and professionals alike. You’ll discover why we cheat more than we admit, why rational choice isn’t as reliable as we like to believe, and how small design tweaks in daily life can steer decisions toward better outcomes. The set works brilliantly as a cohesive reading journey or as three stand-alone foundations in behavioural science, all presented in an accessible paperback format that’s ideal for study, gifting, or personal growth. What Makes This Collection Special:. What sets this trio apart is how neatly it maps the arc from our imperfect impulses to smarter decision-making. The Honest Truth About Dishonesty unpacks the social and cognitive forces behind cheating, offering actionable strategies to foster integrity in work and school. Predictably Irrational peels back the curtains on everyday irrationalities, turning everyday frustrations into teachable moments about money, happiness, and choice architecture. Behavioural Economics Saved My Dog adds a playful, relatable edge, translating theory into real-life decisions with wit and warmth. Together, they form a complete, human-facing primer on why we behave the way we do—and how to shape choices for a better personal and professional life. Books Included in This Collection:. The (Honest) Truth About Dishonesty. This exploration dives into the surprising frequency and mechanics of everyday cheating, showing how rationalizations and social context shape conduct. Ariely’s experiments render clear, memorable lessons about integrity, temptation, and how to design environments that reduce dishonesty. The result is a practical guide for classrooms, workplaces, and households seeking to understand—and improve—honesty in daily life. Predictably Irrational. Why do intelligent people make irrational choices? Ariely reveals consistent patterns in our thinking — from the lure of “free” to the power of social norms — that explain why price, scarcity, and framing can sway decisions. With witty anecdotes and accessible experiments, this book reframes everyday decisions as predictable, not personal failings, and offers strategies to rethink budgeting, preferences, and resistance to temptation. Behavioural Economics Saved My Dog. Blending humor with insight, this title applies behavioural economics to ordinary, relatable dilemmas. Through practical...24,99 £*Shipping: 2,99 £Secure redirect to the provider
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HARPERCOLLINS Dan Ariely 2 Books Collection Set By Dan Ariely (The Honest Truth About Dishonesty, Predictably Irrational)The Honest Truth About Dishonesty Fascinating and provocative, Ariely's The Truth About Dishonesty is an insightful and brilliantly researched take on cheating, deception and willpower. Internationally bestselling author Ariely pulls no punches when it comes to home truths. Previous titles Predictably Irrational and The Upside Of Irrationality have becomes classics in their field, revealing unexpected and astonishing traits that run through modern humankind. Now acclaimed behavioural economist Dan Ariely delves deeper into the dark and murky recesses of contemporary psychology, daring to ask the big questions: What makes us cheat? How and why do we rationalise deception of ourselves and other people, and make ourselves 'wishfully blind' to the blindingly obvious? Predictably Irrational Why do smart people make irrational decisions every day? The answers will surprise you. Predictably Irrational is an intriguing, witty and utterly original look at why we all make illogical decisions.Why can a 50p aspirin do what a 5p aspirin can't? If an item is "free" it must be a bargain, right? Why is everything relative, even when it shouldn't be? How do our expectations influence our actual opinions and decisions? In this astounding book, behavioural economist Dan Ariely cuts to the heart of our strange behaviour, demonstrating how irrationality often supplants rational thought and that the reason for this is embedded in the very structure of our minds.8,39 £*Shipping: 2,99 £Secure redirect to the provider
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The Honest Truth About Dishonesty & Predictably Irrational 2 Books Collection Set By Dan Ariely - Non Fiction - PaperbackTitles in This Set:. The Honest Truth about Dishonesty: How We Lie to Everyone--Especially Ourselves. Predictably Irrational: The Hidden Forces That Shape Our Decisions Condition: BRAND NEW. Format: Paperback. ISBN: 9780062253002, 9780007256532 Overview:. Two landmark books by behavioral economist Dan Ariely, now available as a compact, English-language paperback pair. The Honest Truth about Dishonesty investigates why we cheat—from minor lapses in honesty to large-scale fraud—arguing that social norms, rationalizations, and self-concept compete to guide our choices. Predictably Irrational reveals the surprising regularities of day-to-day decisions, from spending to time valuation, through accessible experiments and engaging anecdotes. Together, these volumes offer a practical map of how our minds work when faced with temptation, incentives, and uncertainty. They’re not moralistic condemnations; they’re tools for self-knowledge, enabling readers to spot cognitive traps, sharpen judgment, and design better environments for themselves and others. This two-book collection is ideal for curious readers, students of psychology and business, professionals seeking better decision-making, and anyone who wants to understand why people—including themselves—often act against their best interests. A thoughtful gift for a reader who loves insights backed by science. What Makes This Collection Special:. This collection unites two complementary explorations of human conduct. The Honest Truth about Dishonesty anchors the conversation in everyday ethics, showing how small acts of cheating accumulate and what social signals influence honesty. Predictably Irrational broadens the lens to the cognitive biases and shortcuts that shape every purchase, deadline, and conversation. The pairing creates a seamless reading journey: you move from moral reflection to practical insights that can alter how you work, shop, learn, and lead. Dan Ariely’s accessible narrative style, grounded in real experiments, invites readers to question their assumptions without judgment. Whether you’re building a classroom discussion, refining a team’s decision-making, or simply craving a richer understanding of people, this set offers repeatable frameworks for thinking clearly under pressure. The compact paperback format makes both titles portable for commutes, study sessions, and library shelves, making it a sensible gift choice for book lovers who value evidence-based ideas. Books Included in This Collection:. The Honest Truth about Dishonesty: How We Lie to Everyone--Especially Ourselves. Why do people cheat in everyday life? This book explores the psychology of dishonesty, showing how ordinary individuals rationalize cheating, how small lies can slip into bigger patterns, and how social norms influence our sense of right and wrong. Through engaging experiments and real-world examples—from tax compliance to school cheating—Ariely reveals the subtle mechanisms that undermine integrity. The...8,49 £*Shipping: 2,99 £Secure redirect to the provider
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Are emotions irrational?
Emotions are not inherently irrational, as they are a natural and important part of human experience. Emotions can be influenced by our thoughts, beliefs, and past experiences, but they also serve important functions in guiding our behavior and decision-making. While emotions can sometimes lead to irrational behavior, they can also provide valuable information about our needs and desires. It is important to acknowledge and understand our emotions in order to make rational decisions and effectively navigate our relationships and experiences. **
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Why is the reciprocal of an irrational number also irrational?
The reciprocal of a number is the result of dividing 1 by that number. If the original number is irrational, then its reciprocal will also be irrational. This is because if the original number cannot be expressed as a simple fraction, then its reciprocal will also not be able to be expressed as a simple fraction. Therefore, the reciprocal of an irrational number will also be irrational. **
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What are irrational exponents?
Irrational exponents are exponents that are not rational numbers, meaning they cannot be expressed as a fraction of two integers. For example, the square root of 2 is an irrational number, so raising a number to the power of the square root of 2 would result in an irrational exponent. When dealing with irrational exponents, we often use approximations or special techniques to evaluate expressions, as they cannot be represented as simple fractions or whole numbers. **
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Is the illusion irrational?
The illusion itself is not irrational, as it is simply a misperception or misinterpretation of sensory information. Illusions occur because our brains are constantly trying to make sense of the world around us, and sometimes they can be tricked by certain visual or auditory stimuli. However, it is important to recognize when we are experiencing an illusion and to use critical thinking to understand the true nature of the situation. In this way, we can overcome the illusion and make rational decisions based on accurate information. **
David Robson & David Robert Grimes The Intelligence Trap, The Irrational Ape 2 Books Collection Set - Non Fiction - Paperback
Titles in This Set:. The Intelligence Trap. The Irrational Ape Condition: BRAND NEW. Format: Paperback. ISBN: 9781473669857, 9781471178283 Overview:. This two-book collection brings together two timely explorations of how human thinking works—and where it can go wrong. The Intelligence Trap investigates why smarter, well-educated minds can still fall prey to bias, error, and flawed reasoning, revealing how intelligence and expertise sometimes shield us from doubt rather than from error. It offers practical strategies to recognise cognitive blind spots, reframe problems, and make wiser, evidence-based decisions in everyday life, work, and public discourse. The Irrational Ape turns the lens outward to society, explaining why disinformation, conspiracy theories, and propaganda can resonate even with a critical audience. It argues that clear, structured thinking—backed by rigorous scrutiny of sources, arguments, and evidence—has saved lives and shaped history. Together, these books empower readers to think more clearly, question assumptions, and navigate a complex world with greater confidence. A compact, high-value pairing for curious minds and serious readers alike. What Makes This Collection Special:. This collection is built on a shared mission: to elevate thinking from reactive belief to deliberate understanding. The Intelligence Trap frames intelligence as a tool that must be channelled with self-awareness and disciplined reasoning, while The Irrational Ape shows how misinformation can exploit cognitive shortcuts, social dynamics, and emotional cues. The pairing creates a comprehensive reading journey—from diagnosing the traps we set for ourselves to decoding the tactics used by disinformation campaigns. The books complement each other: one strengthens inner thinking, the other sharpens external evaluation. Ideal for anyone who wants to read less sentiment and more evidence, this duo also makes a thoughtful, high-impact gift for students, professionals, and engaged readers who value accuracy in an era of information overload. Books Included in This Collection:. The Intelligence Trap. This book challenges the assumption that higher education automatically guards against error. It explains how intelligence can magnify biases, leading even experts to misinterpret data and overconfidently cling to faulty conclusions. With accessible explanations and real-world examples, it guides readers toward better decision-making processes, encouraging methodological humility and disciplined critical thinking. The result is a practical toolkit for recognising cognitive blind spots, testing ideas, and making wiser, evidence-based choices in daily life and in the workplace. The Irrational Ape. This work examines why even well-informed individuals fall for disinformation, conspiracy theories, and propaganda. It argues that clear, structured thinking—together with careful source evaluation and an awareness of emotional triggers—can counter manipulation and...
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HarperCollins Dan Ariely 2 Books Collection Set - Predictably Irrational & The Honest Truth About Dishonesty - New Paperback Non Fiction Bundle
This Dan Ariely 2 Books Collection Set brings together two of the world's most talked-about behavioural economics titles in brand-new paperback: The (Honest) Truth About Dishonesty and Predictably Irrational. Written by Duke University professor and bestselling author Dan Ariely, both books use real-world experiments to show why humans consistently act irrationally, cheat, and make choices that defy classic economic logic. The set includes Predictably Irrational, Ariely's ground-breaking debut, which asks why intelligent people so often make illogical decisions in everyday life, and The (Honest) Truth About Dishonesty, which explores how we lie to ourselves and others. Published by HarperCollins, this collection is ideal for fans of popular psychology, self-help, and business non-fiction.
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Are religious beliefs irrational?
Religious beliefs are not necessarily irrational. While they may not be based on empirical evidence or scientific proof, they are often deeply rooted in personal experiences, cultural traditions, and moral values. Many people find meaning, purpose, and comfort in their religious beliefs, and these beliefs can provide a framework for understanding the world and guiding ethical behavior. Ultimately, whether religious beliefs are considered rational or not may depend on one's perspective and the criteria used to evaluate rationality. **
How can one recognize irrational numbers and are all negative numbers irrational?
One can recognize irrational numbers by their inability to be expressed as a simple fraction or as a repeating or terminating decimal. They are non-repeating and non-terminating. Not all negative numbers are irrational. For example, -1 can be expressed as a simple fraction (-1/1) and is therefore rational. Irrational numbers can be positive or negative, such as the square root of 2 or pi. **
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HARPERCOLLINS Predictably Irrational: The Hidden Forces that Shape Our Decisions by Dan ArielyWhy do smart people make irrational decisions every day? The answers will surprise you. Predictably Irrational is an intriguing, witty and utterly original look at why we all make illogical decisions. Why can a 50p aspirin do what a 5p aspirin can't? If an item is "free" it must be a bargain, right? Why is everything relative, even when it shouldn't be? How do our expectations influence our actual opinions and decisions? In this astounding book, behavioural economist Dan Ariely cuts to the heart of our strange behaviour, demonstrating how irrationality often supplants rational thought and that the reason for this is embedded in the very structure of our minds. Predicatably Irrational brilliantly blends everyday experiences with a series of illuminating and often surprising experiments, that will change your understanding of human behaviour. And, by recognising these patterns, Ariely shows that we can make better decisions in business, in matters of collective welfare, and in our everyday lives from drinking coffee to losing weight, buying a car to choosing a romantic partner.1,99 £*Shipping: 1,99 £Secure redirect to the provider
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Various Talk Like TED, Predictably Irrational Dan Ariely, Creative Confidence 3 Books SetDescription:. Condition: BRAND NEW. Format: Paperback. alk Like TED: The 9 Public Speaking Secrets of the World's Top Minds.... TED Talks have redefined the elements of a successful presentation and. become the gold standard for public speaking around the world. And yet. the techniques that top TED speakers use are the same ones that will. make any presentation more dynamic, fire up any team, and give anyone. the confidence to overcome their fear of public. speaking.Communications coach and bestselling author of The. Presentation Secrets of Steve Jobs, Carmine Gallo has broken down the. top TED Talks and interviewed the most popular TED presenters to. uncover the nine secrets of all successful TED presentations. From. 'Unleashing the Master Within' and 'Delivering Jaw Dropping Moments'. to 'Sticking to the 18-minute Rule' Gallo provides a step-by-step. method that makes it possible for anyone to create, design, and. deliver a TED-style presentation that is engaging, persuasive, and. memorable...... Predictably Irrational: The Hidden Forces That Shape Our Decisions ... Why do smart people make irrational decisions every day? The answers. will surprise you. Predictably Irrational is an intriguing, witty and. utterly original look at why we all make illogical decisions.Why can a. 50p aspirin do what a 5p aspirin can't? If an item is "free" it must. be a bargain, right? Why is everything relative, even when it. shouldn't be? How do our expectations influence our actual opinions. and decisions?In this astounding book, behavioural economist Dan. Ariely cuts to the heart of our strange behaviour, demonstrating how. irrationality often supplants rational thought and that the reason for. this is embedded in the very structure of our minds..... Creative Confidence: Unleashing the Creative Potential within Us All.... A powerful and inspiring book from the founders of IDEO, the. award-winning design firm, on unleashing the creativity that lies. within each and every one of us.Too often, companies and individuals. assume that creativity and innovation are the domain of the ‘creative. types’. But two of the foremost experts in innovation, design and. creativity on the planet show us that each and every one of us is. creative.In an entertaining and inspiring narrative that draws on. countless stories from their work at IDEO, and with many of the. world's top companies and design firms, David and Tom Kelley identify. the principles and strategies that will allow us to tap into our. creative potential in our work lives, and in our personal lives, allow. us to think outside the box in terms of how we approach and solve. problems...... Title. Talk Like TED, Predictably Irrational Dan Ariely,Creative Confidence 3 Books Set. Delivery. Content. Reviews14,99 £*Shipping: 2,99 £Secure redirect to the provider
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Pan/Harper ltd Talk Like TED, Predictably Irrational, Creative Confidence 3 Books Collection SetTalk Like TED, Predictably Irrational, Creative Confidence 3 Books Collection Set: Description: 1) Talk Like TED: The 9 Public Speaking Secrets of the World's Top Minds TED Talks have redefined the elements of a successful presentation and become the gold standard for public speaking around the world. And yet the techniques that top TED speakers use are the same ones that will make any presentation more dynamic, fire up any team, and give anyone the confidence to overcome their fear of public speaking.Communications coach and bestselling author of The Presentation Secrets of Steve Jobs, Carmine Gallo has broken down the top TED Talks and interviewed the most popular TED presenters to uncover the nine secrets of all successful TED presentations. 2) Predictably Irrational: The Hidden Forces That Shape Our Decisions Why do smart people make irrational decisions every day? The answers will surprise you. Predictably Irrational is an intriguing, witty and utterly original look at why we all make illogical decisions.Why can a 50p aspirin do what a 5p aspirin can't? If an item is "free" it must be a bargain, right? Why is everything relative, even when it shouldn't be? How do our expectations influence our actual opinions and decisions?In this astounding book, behavioural economist Dan Ariely cuts to the heart of our strange behaviour, demonstrating how irrationality often supplants rational thought and that the reason for this is embedded in the very structure of our minds. 3) Creative Confidence: Unleashing the Creative Potential within Us All A powerful and inspiring book from the founders of IDEO, the award-winning design firm, on unleashing the creativity that lies within each and every one of us.Too often, companies and individuals assume that creativity and innovation are the domain of the ‘creative types’. But two of the foremost experts in innovation, design and creativity on the planet show us that each and every one of us is creative.In an entertaining and inspiring narrative that draws on countless stories from their work at IDEO.8,99 £*Shipping: 2,99 £Secure redirect to the provider
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DanAriely The (Honest) Truth About Dishonesty & Predictably Irrational 3-Book Set by Dan Ariely - Non Fiction - PaperbackTitles in This Set:. The (Honest) Truth About Dishonesty. Predictably Irrational. Behavioural Economics Saved My Dog Condition: BRAND NEW. Format: Paperback. ISBN: 9780007477333 9781780748177 Overview:. Delve into three of Dan Ariely’s most influential explorations of how we think, decide, and act. This 3 Book Collection brings together The (Honest) Truth About Dishonesty, Predictably Irrational, and Behavioural Economics Saved My Dog for a comprehensive introduction to behavioural economics and everyday psychology. Ariely’s blend of rigorous experiments, sharp storytelling, and practical insights makes complex ideas approachable for curious readers, students, and professionals alike. You’ll discover why we cheat more than we admit, why rational choice isn’t as reliable as we like to believe, and how small design tweaks in daily life can steer decisions toward better outcomes. The set works brilliantly as a cohesive reading journey or as three stand-alone foundations in behavioural science, all presented in an accessible paperback format that’s ideal for study, gifting, or personal growth. What Makes This Collection Special:. What sets this trio apart is how neatly it maps the arc from our imperfect impulses to smarter decision-making. The Honest Truth About Dishonesty unpacks the social and cognitive forces behind cheating, offering actionable strategies to foster integrity in work and school. Predictably Irrational peels back the curtains on everyday irrationalities, turning everyday frustrations into teachable moments about money, happiness, and choice architecture. Behavioural Economics Saved My Dog adds a playful, relatable edge, translating theory into real-life decisions with wit and warmth. Together, they form a complete, human-facing primer on why we behave the way we do—and how to shape choices for a better personal and professional life. Books Included in This Collection:. The (Honest) Truth About Dishonesty. This exploration dives into the surprising frequency and mechanics of everyday cheating, showing how rationalizations and social context shape conduct. Ariely’s experiments render clear, memorable lessons about integrity, temptation, and how to design environments that reduce dishonesty. The result is a practical guide for classrooms, workplaces, and households seeking to understand—and improve—honesty in daily life. Predictably Irrational. Why do intelligent people make irrational choices? Ariely reveals consistent patterns in our thinking — from the lure of “free” to the power of social norms — that explain why price, scarcity, and framing can sway decisions. With witty anecdotes and accessible experiments, this book reframes everyday decisions as predictable, not personal failings, and offers strategies to rethink budgeting, preferences, and resistance to temptation. Behavioural Economics Saved My Dog. Blending humor with insight, this title applies behavioural economics to ordinary, relatable dilemmas. Through practical...24,99 £*Shipping: 2,99 £Secure redirect to the provider
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Is the difference of two irrational numbers always irrational?
Yes, the difference of two irrational numbers is not always irrational. For example, the difference between the irrational number √2 and its negative (-√2) is a rational number (0). Therefore, the difference of two irrational numbers can be rational or irrational, depending on the specific numbers being subtracted. **
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Is the difference between two irrational numbers always irrational?
No, the difference between two irrational numbers is not always irrational. For example, if you subtract the irrational number √2 from itself, you get 0, which is a rational number. So, it is possible for the difference between two irrational numbers to be rational. **
-
Are emotions irrational?
Emotions are not inherently irrational, as they are a natural and important part of human experience. Emotions can be influenced by our thoughts, beliefs, and past experiences, but they also serve important functions in guiding our behavior and decision-making. While emotions can sometimes lead to irrational behavior, they can also provide valuable information about our needs and desires. It is important to acknowledge and understand our emotions in order to make rational decisions and effectively navigate our relationships and experiences. **
-
Why is the reciprocal of an irrational number also irrational?
The reciprocal of a number is the result of dividing 1 by that number. If the original number is irrational, then its reciprocal will also be irrational. This is because if the original number cannot be expressed as a simple fraction, then its reciprocal will also not be able to be expressed as a simple fraction. Therefore, the reciprocal of an irrational number will also be irrational. **
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HARPERCOLLINS Dan Ariely 2 Books Collection Set By Dan Ariely (The Honest Truth About Dishonesty, Predictably Irrational)The Honest Truth About Dishonesty Fascinating and provocative, Ariely's The Truth About Dishonesty is an insightful and brilliantly researched take on cheating, deception and willpower. Internationally bestselling author Ariely pulls no punches when it comes to home truths. Previous titles Predictably Irrational and The Upside Of Irrationality have becomes classics in their field, revealing unexpected and astonishing traits that run through modern humankind. Now acclaimed behavioural economist Dan Ariely delves deeper into the dark and murky recesses of contemporary psychology, daring to ask the big questions: What makes us cheat? How and why do we rationalise deception of ourselves and other people, and make ourselves 'wishfully blind' to the blindingly obvious? Predictably Irrational Why do smart people make irrational decisions every day? The answers will surprise you. Predictably Irrational is an intriguing, witty and utterly original look at why we all make illogical decisions.Why can a 50p aspirin do what a 5p aspirin can't? If an item is "free" it must be a bargain, right? Why is everything relative, even when it shouldn't be? How do our expectations influence our actual opinions and decisions? In this astounding book, behavioural economist Dan Ariely cuts to the heart of our strange behaviour, demonstrating how irrationality often supplants rational thought and that the reason for this is embedded in the very structure of our minds.8,39 £*Shipping: 2,99 £Secure redirect to the provider
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The Honest Truth About Dishonesty & Predictably Irrational 2 Books Collection Set By Dan Ariely - Non Fiction - PaperbackTitles in This Set:. The Honest Truth about Dishonesty: How We Lie to Everyone--Especially Ourselves. Predictably Irrational: The Hidden Forces That Shape Our Decisions Condition: BRAND NEW. Format: Paperback. ISBN: 9780062253002, 9780007256532 Overview:. Two landmark books by behavioral economist Dan Ariely, now available as a compact, English-language paperback pair. The Honest Truth about Dishonesty investigates why we cheat—from minor lapses in honesty to large-scale fraud—arguing that social norms, rationalizations, and self-concept compete to guide our choices. Predictably Irrational reveals the surprising regularities of day-to-day decisions, from spending to time valuation, through accessible experiments and engaging anecdotes. Together, these volumes offer a practical map of how our minds work when faced with temptation, incentives, and uncertainty. They’re not moralistic condemnations; they’re tools for self-knowledge, enabling readers to spot cognitive traps, sharpen judgment, and design better environments for themselves and others. This two-book collection is ideal for curious readers, students of psychology and business, professionals seeking better decision-making, and anyone who wants to understand why people—including themselves—often act against their best interests. A thoughtful gift for a reader who loves insights backed by science. What Makes This Collection Special:. This collection unites two complementary explorations of human conduct. The Honest Truth about Dishonesty anchors the conversation in everyday ethics, showing how small acts of cheating accumulate and what social signals influence honesty. Predictably Irrational broadens the lens to the cognitive biases and shortcuts that shape every purchase, deadline, and conversation. The pairing creates a seamless reading journey: you move from moral reflection to practical insights that can alter how you work, shop, learn, and lead. Dan Ariely’s accessible narrative style, grounded in real experiments, invites readers to question their assumptions without judgment. Whether you’re building a classroom discussion, refining a team’s decision-making, or simply craving a richer understanding of people, this set offers repeatable frameworks for thinking clearly under pressure. The compact paperback format makes both titles portable for commutes, study sessions, and library shelves, making it a sensible gift choice for book lovers who value evidence-based ideas. Books Included in This Collection:. The Honest Truth about Dishonesty: How We Lie to Everyone--Especially Ourselves. Why do people cheat in everyday life? This book explores the psychology of dishonesty, showing how ordinary individuals rationalize cheating, how small lies can slip into bigger patterns, and how social norms influence our sense of right and wrong. Through engaging experiments and real-world examples—from tax compliance to school cheating—Ariely reveals the subtle mechanisms that undermine integrity. The...8,49 £*Shipping: 2,99 £Secure redirect to the provider
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David Robson & David Robert Grimes The Intelligence Trap, The Irrational Ape 2 Books Collection Set - Non Fiction - PaperbackTitles in This Set:. The Intelligence Trap. The Irrational Ape Condition: BRAND NEW. Format: Paperback. ISBN: 9781473669857, 9781471178283 Overview:. This two-book collection brings together two timely explorations of how human thinking works—and where it can go wrong. The Intelligence Trap investigates why smarter, well-educated minds can still fall prey to bias, error, and flawed reasoning, revealing how intelligence and expertise sometimes shield us from doubt rather than from error. It offers practical strategies to recognise cognitive blind spots, reframe problems, and make wiser, evidence-based decisions in everyday life, work, and public discourse. The Irrational Ape turns the lens outward to society, explaining why disinformation, conspiracy theories, and propaganda can resonate even with a critical audience. It argues that clear, structured thinking—backed by rigorous scrutiny of sources, arguments, and evidence—has saved lives and shaped history. Together, these books empower readers to think more clearly, question assumptions, and navigate a complex world with greater confidence. A compact, high-value pairing for curious minds and serious readers alike. What Makes This Collection Special:. This collection is built on a shared mission: to elevate thinking from reactive belief to deliberate understanding. The Intelligence Trap frames intelligence as a tool that must be channelled with self-awareness and disciplined reasoning, while The Irrational Ape shows how misinformation can exploit cognitive shortcuts, social dynamics, and emotional cues. The pairing creates a comprehensive reading journey—from diagnosing the traps we set for ourselves to decoding the tactics used by disinformation campaigns. The books complement each other: one strengthens inner thinking, the other sharpens external evaluation. Ideal for anyone who wants to read less sentiment and more evidence, this duo also makes a thoughtful, high-impact gift for students, professionals, and engaged readers who value accuracy in an era of information overload. Books Included in This Collection:. The Intelligence Trap. This book challenges the assumption that higher education automatically guards against error. It explains how intelligence can magnify biases, leading even experts to misinterpret data and overconfidently cling to faulty conclusions. With accessible explanations and real-world examples, it guides readers toward better decision-making processes, encouraging methodological humility and disciplined critical thinking. The result is a practical toolkit for recognising cognitive blind spots, testing ideas, and making wiser, evidence-based choices in daily life and in the workplace. The Irrational Ape. This work examines why even well-informed individuals fall for disinformation, conspiracy theories, and propaganda. It argues that clear, structured thinking—together with careful source evaluation and an awareness of emotional triggers—can counter manipulation and...15,99 £*Shipping: 2,99 £Secure redirect to the provider
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HarperCollins Dan Ariely 2 Books Collection Set - Predictably Irrational & The Honest Truth About Dishonesty - New Paperback Non Fiction BundleThis Dan Ariely 2 Books Collection Set brings together two of the world's most talked-about behavioural economics titles in brand-new paperback: The (Honest) Truth About Dishonesty and Predictably Irrational. Written by Duke University professor and bestselling author Dan Ariely, both books use real-world experiments to show why humans consistently act irrationally, cheat, and make choices that defy classic economic logic. The set includes Predictably Irrational, Ariely's ground-breaking debut, which asks why intelligent people so often make illogical decisions in everyday life, and The (Honest) Truth About Dishonesty, which explores how we lie to ourselves and others. Published by HarperCollins, this collection is ideal for fans of popular psychology, self-help, and business non-fiction.8,49 £*Shipping: 2,99 £Secure redirect to the provider
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What are irrational exponents?
Irrational exponents are exponents that are not rational numbers, meaning they cannot be expressed as a fraction of two integers. For example, the square root of 2 is an irrational number, so raising a number to the power of the square root of 2 would result in an irrational exponent. When dealing with irrational exponents, we often use approximations or special techniques to evaluate expressions, as they cannot be represented as simple fractions or whole numbers. **
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Is the illusion irrational?
The illusion itself is not irrational, as it is simply a misperception or misinterpretation of sensory information. Illusions occur because our brains are constantly trying to make sense of the world around us, and sometimes they can be tricked by certain visual or auditory stimuli. However, it is important to recognize when we are experiencing an illusion and to use critical thinking to understand the true nature of the situation. In this way, we can overcome the illusion and make rational decisions based on accurate information. **
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Are religious beliefs irrational?
Religious beliefs are not necessarily irrational. While they may not be based on empirical evidence or scientific proof, they are often deeply rooted in personal experiences, cultural traditions, and moral values. Many people find meaning, purpose, and comfort in their religious beliefs, and these beliefs can provide a framework for understanding the world and guiding ethical behavior. Ultimately, whether religious beliefs are considered rational or not may depend on one's perspective and the criteria used to evaluate rationality. **
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How can one recognize irrational numbers and are all negative numbers irrational?
One can recognize irrational numbers by their inability to be expressed as a simple fraction or as a repeating or terminating decimal. They are non-repeating and non-terminating. Not all negative numbers are irrational. For example, -1 can be expressed as a simple fraction (-1/1) and is therefore rational. Irrational numbers can be positive or negative, such as the square root of 2 or pi. **
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