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23 de fev. de 2007 · The core of Wittgenstein’s conception of mathematics is very much set by the Tractatus Logico-Philosophicus (1922; hereafter Tractatus ), where his main aim is to work out the language-reality connection by determining what is required for language, or language usage, to be about the world.
23 de fev. de 2007 · The core of Wittgenstein's conception of mathematics is very much set by the Tractatus Logico-Philosophicus (1922; hereafter Tractatus ), where his main aim is to work out the language-reality connection by determining what is required for language, or language usage, to be about the world.
Wittgenstein's initial conception of mathematics was logicist and even formalist. The Tractatus described the propositions of logic as a series of tautologies derived from syntactic manipulation, and without the pictorial force of elementary propositions depicting states of affairs obtaining in the world.
In addition to the aphoristic and multi-voiced style, one of the most baffling aspects of later Wittgenstein’s views on mathematics is his position relative to the traditional philosophies of mathematics.
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'.
- Juliet Floyd
- 2021
23 de nov. de 2019 · To Wittgenstein, mathematics is more about the dynamic act of reason than about the static judgment, ceaselessly producing what he calls the natural history of humankind, which alone allows for the determination of meaning in the rule-following problem or Kripkenstein’s paradox.
panies mathematics with the "calculi" which make up mathematics itself. Wittgenstein is using the term 'calculus' in a special sense, and in fact this concept of a calculus lies at the heart of Wittgenstein's account of mathe-matics. So I now want to discuss this concept and show how Wittgenstein's views on some particular topics flow from it.
