Read e-book online After Godel: Platonism and Rationalism in Mathematics and PDF

By Richard Tieszen

Richard Tieszen offers an research, improvement, and safeguard of a few critical rules in Kurt Godel's writings at the philosophy and foundations of arithmetic and common sense. Tieszen constructions the argument round Godel's 3 philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplementations shut readings of Godel's texts on foundations with fabrics from Godel's Nachlass and from Hao Wang's discussions with Godel. in addition to supplying discussions of Godel's perspectives at the philosophical importance of his technical effects on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes an in depth research of Godel's critique of Hilbert and Carnap, and of his next flip to Husserl's transcendental philosophy in 1959. in this foundation, a brand new kind of platonic rationalism that calls for rational instinct, known as 'constituted platonism', is constructed and defended. Tieszen indicates how constituted platonism addresses the matter of the objectivity of arithmetic and of the data of summary mathematical items. eventually, he considers the consequences of this place for the declare that human minds ('monads') are machines, and discusses the problems of pragmatic holism and rationalism.

Show description

Read Online or Download After Godel: Platonism and Rationalism in Mathematics and Logic PDF

Similar philosophical logic & language books

Get From Kant to Husserl PDF

In From Kant to Husserl, Charles Parsons examines quite a lot of historic opinion on philosophical questions from arithmetic to phenomenology. Amplifying his early principles on Kant’s philosophy of mathematics, the writer then turns to reflections on Frege, Brentano, and Husserl.

Download e-book for iPad: The Impossible: An Essay on Hyperintensionality by Mark Jago

Mark Jago offers an unique philosophical account of significant idea: specifically, the way it is significant to contemplate issues which are very unlikely. we expect approximately most unlikely issues for all time. we will take into consideration alchemists attempting to flip base steel to gold, and approximately unlucky mathematicians attempting to sq. the circle.

Arnold Koslow,Arthur Buchsbaum's The Road to Universal Logic: Festschrift for 50th Birthday PDF

This is often the 1st quantity of a suite of papers in honor of the 50th birthday of Jean-Yves Béziau. those 25 papers were written by way of across the world special logicians, mathematicians, desktop scientists, linguists and philosophers, together with Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen learn, and Jan Woleński.

New PDF release: The Structure of Aristotelian Logic: Volume 7 (Routledge

Initially released in 1938. This compact treatise is an entire therapy of Aristotle’s common sense as containing adverse phrases. It starts off with defining Aristotelian good judgment as a subject-predicate good judgment confining itself to the 4 varieties of express proposition often called the A, E, I and O kinds. It assigns traditional meanings to those specific types such that subalternation holds.

Additional resources for After Godel: Platonism and Rationalism in Mathematics and Logic

Sample text

Download PDF sample

After Godel: Platonism and Rationalism in Mathematics and Logic by Richard Tieszen

by William

Rated 4.09 of 5 – based on 32 votes