Questo è un libro sulle idee matematiche, su che cosa significa la matematica, e perché. Non riguarda soltanto la verità dei teoremi ma che cosa significano i teoremi e perché sono veri in virtù di quel che significano. Fornisce una risposta a uno dei problemi più profondi della filosofia della matematica: come può un essere con un cervello e una mente "finiti" comprendere l’"infinito". E’ il primo tentativo di proporre una metodologia rigorosa per l’analisi delle idee matematiche: un’analisi
cognitiva della loro struttura, di come le idee matematiche sono radicate nella esperienza della vita fisica quotidiana, di quali meccanismi cognitivi fanno uso e come sono collegati gli uni agli altri. Un grande ruolo è assegnato dagli autori alla metafora concettuale nella proiezione del ragionamento sensomotorio (cioè fisico, corporeo) nel ragionamento astratto. Secondo Lakoff e Núñez, capire le idee matematiche e come sorgono dai nostri corpi e cervelli permetterà di demistificare la matematica e di capirne meglio il significato.
- ISBN: 8833915522
- Casa Editrice: Bollati Boringhieri
- Pagine: 596
Linguistic Overreach? Get ready; here’s the headline news: MATHEMATICS IS A HUMAN CONSTRUCTION JUST LIKE LANGUAGE. In fact mathematics is a language and employs the same parts of the human brain and nervous system as any other language. It’s arguably the most precise language we have. But there is no Leggi tutto
I consider this book to be essential reading for anyone attempting to seriously understand Mathematics. In fact this book or should probably be required for anyone teaching Mathematics! I've long believed that there was no way to break down thought into discernible mechanistic-like chunks and analyze Leggi tutto
It is the worst rating I have ever given to a book! Simply speaking, the whole book is trying to convince you that it has a more realistic explanation of the nature of mathematics, and believe me, it cannot even fake it! The most obvious examples are infinite series and Taylor expansion. In former,
Although I am a Mathematical Platonist. I couldn't help but be fascinated by Lakoff account of how concrete metaphors from the body and everyday experience inform our mathematical abstractions of the most aetherial and least earthy types. My only answer to Lakoff repudiation of platonism for a cogn
Recently completed reading this challenging journey through Lakoff's embodied mind theory with our Philosophy of Math study group at Saint Martin's University. The group, made up of math, philosophy, and computer science professors, struggled with Lakoff's approach to how fundamentals of number, ari Leggi tutto
Cognitive linguistics has at its underlying aesthetic the very literal understanding that how we think of things is what they are. This follows post-structural rhetoricians like Paul Ricoeur who argue that the connective tissue of language is metaphor -- where metaphor is the substantiation of the n Leggi tutto
A really good book on how people build from concrete to the abstract in the field where abstraction is most recondite Mathematics. I think that human abilities like mathematical reasoning start like all things human from quotidian day to day aspects of our lives, walking, talking, eating, drinking,
An utter disappointment but not devoid of value. I doubt i'll bother to continue reading, so here are my initial thoughts. I'm far too dim to understand Lakoff + Núñez's ideas. Or maybe they're not saying anything other than people have to use language to express and explain mathematical ideas and lan Leggi tutto
I find some of the arguments in this book tautological, thought it is difficult to articulate why. The section on an Embodied Philosophy of Mathematics is one of the most interesting in the book. The authors argue against "The Romance of Mathematics" (Platonism, plus some cultural effects) and again Leggi tutto
A really really excellent book. Okay, yes, I’m weird, I’ve been interested off and on in philosophy of mathematics for probably almost a decade and a half. Partly to inject some “soul” into the lonely, mechanical, and austere world I had to inhabit as a software engineer, and partly because it’s jus Leggi tutto
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