Realism in Mathematics (Clarendon Paperbacks) by Maddy
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A Plea for Natural Philosophy: And Other Essays (Hardback or Cased Book)
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Defending the Axioms : On the Philosophical Foundations of Set Theory, Hardco…
Defending the Axioms: On the Philosophical Foundations of Set Theory by Penelope
Defending the Axioms. by Penelope Maddy. Short Title Defending the Axioms. Author Penelope Maddy. `’an engaging contribution to an important philosophical debate [which] deserves to be read far beyond the ranks of philosophers of mathematics’.
Defending the Axioms: On the Philosophical Foundations of Set Theory by Penelope
Defending the Axioms. Short Title DEFENDING THE AXIOMS. by Penelope Maddy. Author Penelope Maddy. the book is an engaging contribution to an important philosophical debate and deserves to be read far beyond the ranks of philosophers of mathematics.
Naturalism in Mathematics by Penelope Maddy (English) Paperback Book
Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. These were once held to be self-evident, but progress in work on the foundations of mathematics, especially in set theory, has rendered that comforting notion obsolete.
Realism in Mathematics by Penelope Maddy (English) Paperback Book
; Perception; Intuition; Godelian Platonism; Numbers: What numbers could not be; Numbers as properties; Frege numbers; Axioms: Reals and sets of reals; Axiomization; Open problems; Competing theories; The challenge; Monism and beyond: Monism; Field’s nominalism; Structuralism; Summary; References; Index.
The Logical Must: Wittgenstein on Logic by Penelope Maddy (English) Paperback Bo
In his later discussions of logic in Philosophical Investigations and Remarks on the Foundations of Mathematics, Wittgenstein also rejects this earlier assumption in favor of apicture that arises in the wake of the famous rule-following considerations.
Naturalism in Mathematics by Penelope Maddy (English) Hardcover Book
The book will thus be ofconsiderable interest to philosophers of mathematics and mathematicians alike. Indeed, Maddy’s engaging style and clear explanations of the more technical material makes this book, like her last, accessible andof interest to the non-specialist as well.
Maddy – Logical Must Wittgenstein on Logic – New paperback or softbac – X555z
In his early work Tractatus Logico-Philosophicus, Wittgenstein also links the logical structure of representation with the structure of the world, but he includes one key unnaturalistic assumption: that the sense of our representations must be given prior to-independently of-facts about how the world is.