By Stuart G. Shanker, S. G. Shanker
Quantity nine of the Routledge background of Philosophy surveys ten key issues within the Philosophy of technological know-how, good judgment and arithmetic within the 20th Century. every one article is written through one of many world's prime specialists in that box. The papers offer a accomplished advent to the topic in query, and are written in a manner that's available to philosophy undergraduates and to these outdoors of philosophy who're attracted to those topics. every one bankruptcy includes an intensive bibliography of the main writings within the box. one of the issues coated are the philosophy of common sense; Ludwig Wittgenstein's Tractatus; a survey of logical positivism; the philosophy of physics and of technology; chance idea and cybernetics.
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Extra info for Routledge History of Philosophy: Philosophy of Science, Logic and Mathematics in the 20th Century (Pt.1)
How extraordinary that Plato could have even got as far as he did! Or that we could not get any further! ’4 But this criticism rests on a profound misreading of Wittgenstein’s conception of the nature of philosophy. , Wittgenstein, Ryle, Austin, Urmson and Strawson) can be identified as forming a philosophical ‘school’ is deeply suspect. Admittedly, they all shared certain fundamental attitudes towards the proper method of resolving philosophical problems, but in no way did they all share the same philosophical interests and objectives, let alone subscribe to a common set of philosophical doctrines or theses.
Has philosophy been even more successful than Russell envisaged? The philosophies of logic, mathematics and science have been driven by five leading problems this century: 1 2 3 4 5 What is the nature of logic, of logical truth? What is the nature of mathematics: of mathematical propositions, mathematical conjectures, and mathematical proof? What is the nature of formal systems, and what is their relation to what Hilbert called ‘the activity of understanding’? What is the nature of language: of meaning, reference, and truth?
21–2. 10 Ibid. 11 Ibid. Irvine The relationship between evidence and hypothesis is fundamental to the advancement of science. It is this relationship—referred to as the relationship between premisses and conclusion—which lies at the heart of logic. Logic, in this traditional sense, is the study of correct inference. It is the study of formal structures and non-formal relations which hold between evidence and hypothesis, reasons and belief, or premisses and conclusion. It is the study of both conclusive (or monotonic) and inconclusive (non-monotonic or ampliative) inferences or, as it is also commonly described, the study of both entailments and inductions.
Routledge History of Philosophy: Philosophy of Science, Logic and Mathematics in the 20th Century (Pt.1) by Stuart G. Shanker, S. G. Shanker