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They know something you don't know. They work inside investment banks, betting companies and social media giants. What are the secrets held by mathematicians and what can everyone else learn from them? Their advantage can be reduced to a small number of equations. Ten of them. An...d, surprisingly, it isn't their technical details that give them an edge. It is the way these equations allow them to view problems from a different angle -- a way of seeing the world that anyone can learn. In this eye-opening book, mathematician David Sumpter reveals the formulas that make the modern world go round, and how we can use them to better our chances of success, solidify friendships and live healthier lives, to guard against failure and financial ruin, and to see through scaremongering. Writing with clarity and wit, Sumpter explains how the same equations that are integral to Facebook can help you to work out how long to persist with a difficult task or how many episodes of a new Netflix series to watch before giving up. Empowering and enlightening, The Ten Equations shows how maths can truly change our way of understanding the world.
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By DK; Foreword by Parker, Matt
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- RRP: $48.00
- $36.00
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Discover more than 85 of the most important mathematical ideas, theorems, and proofs ever devised, and the great minds behind them, with this original, graphic-led book. Applying the Big Ideas series' trademark combination of authoritative, accessible text and bold graphics to ch...art the development of maths through history, the book explores and explains subjects that range from ancient mathematical ideas and inventions, such as prehistoric tally bones and Sumerian multiplication tables, through to the developments in mathematics during medieval and Renaissance Europe, to the rise of game and group theory more recently Tracing maths through the scientific revolution to its 21st-century use in computers, the internet, and AI, The Maths Book uses an innovative graphic-led approach to make the subject accessible to everyone.
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This is the first full English translation, with a critical introduction and a comprehensive commentary, of the Dissertation on Combinatorial Art (1666), in which Leibniz introduces some of his most important ideas in philosophy, logic, and mathematics.
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Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing h...ow this leads to deep mathematical and philosophical problems.
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This in depth exploration is the first part of a two part study of the two volumes of Alain Badiou's seminal Being and Event project. Badiou and Indifferent Being is an original, systematic study of Being and Event that takes into consideration the dramatic modifications to Badio...u's philosophy since the publication of Logics of Worlds (2006). In that central elements of Badiou's philosophy, such as the situation, the event and the subject, are incomplete in Being and Event, this is the only fully up-to-date and accurate consideration of Badiou's overall philosophy yet published. At the same time as presenting an up-to-date account of Badiou's overall philosophy, the book is the first to draw out the central component of Badiou's ontology namely its relation to the category of indifference. Concentrating on the use of indifference across all the core elements of ontology, in particular the void, the pure multiple, the concept of set and the event, the book demonstrates that because set theory as such is a mathematics of indifference and for Badiou ontology is mathematics, no account of Badiou's ontology is complete unless it accepts that Badiou's theory of being is a presentation of indifferent being. The book provides a detailed and lively section by section reading of Badiou's foundational work, presenting all his concepts for all Badiou readers from undergraduates to researchers. It is a seminal source text for all future readings of Badiou.
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Originally published in 1949. This meticulously researched book presents a comprehensive outline and discussion of Aristotle's mathematics with the author's translations of the greek. To Aristotle, mathematics was one of the three theoretical sciences, the others being theology a...nd the philosophy of nature (physics). Arranged thematically, this book considers his thinking in relation to the other sciences and looks into such specifics as squaring of the circle, syllogism, parallels, incommensurability of the diagonal, angles, universal proof, gnomons, infinity, agelessness of the universe, surface of water, meteorology, metaphysics and mechanics such as levers, rudders, wedges, wheels and inertia. The last few short chapters address `problems' that Aristotle posed but couldn't answer, related ethics issues and a summary of some short treatises that only briefly touch on mathematics.
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In this book, David Stump traces alternative conceptions of the a priori in the philosophy of science and defends a unique position in the current debates over conceptual change and the constitutive elements in science. Stump emphasizes the unique epistemological status of the co...nstitutive elements of scientific theories, constitutive elements being the necessary preconditions that must be assumed in order to conduct a particular scientific inquiry. These constitutive elements, such as logic, mathematics, and even some fundamental laws of nature, were once taken to be a priori knowledge but can change, thus leading to a dynamic or relative a priori. Stump critically examines developments in thinking about constitutive elements in science as a priori knowledge, from Kant's fixed and absolute a priori to Quine's holistic empiricism. By examining the relationship between conceptual change and the epistemological status of constitutive elements in science, Stump puts forward an argument that scientific revolutions can be explained and relativism can be avoided without resorting to universals or absolutes.
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This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philo...sophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes' set theoretical predicates and the da Costa and Chuaqui approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science.
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Explores the central problems and the most intriguing new directions in the philosophy of mathematics. The papers are organized thematically, rather than chronologically, to give the best overview of philosophical issues connected with mathematics and the development of mathemati...cal knowledge.
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This reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic.
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