display all the ideas for this combination of texts
5 ideas
19370 | 'Blind thought' is reasoning without recognition of the ingredients of the reasoning [Leibniz, by Arthur,R] |
Full Idea: Leibniz invented the concept of 'blind thought' - reasoning by a manipulation of characters without being able to recognise what each character stands for. | |
From: report of Gottfried Leibniz (Towards a Universal Characteristic [1677]) by Richard T.W. Arthur - Leibniz |
15158 | Indefinite descriptions are quantificational in subject position, but not in predicate position [Soames] |
Full Idea: The indefinite description in 'A man will meet you' is naturally treated as quantificational, but an occurrence in predicative position, in 'Jones is not a philosopher', doesn't have a natural quantificational counterpart. | |
From: Scott Soames (Philosophy of Language [2010], 1.23) |
15157 | Recognising the definite description 'the man' as a quantifier phrase, not a singular term, is a real insight [Soames] |
Full Idea: Recognising the definite description 'the man' as a quantifier phrase, rather than a singular term, is a real insight. | |
From: Scott Soames (Philosophy of Language [2010], 1.22) | |
A reaction: 'Would the man who threw the stone come forward' seems like a different usage from 'would the man in the black hat come forward'. |
15156 | The universal and existential quantifiers were chosen to suit mathematics [Soames] |
Full Idea: Since Frege and Russell were mainly interested in formalizing mathematics, the only quantifiers they needed were the universal and existential one. | |
From: Scott Soames (Philosophy of Language [2010], 1.22) |
19391 | We can assign a characteristic number to every single object [Leibniz] |
Full Idea: The true principle is that we can assign to every object its determined characteristic number. | |
From: Gottfried Leibniz (Towards a Universal Characteristic [1677], p.18) | |
A reaction: I add this as a predecessor of Gödel numbering. It is part of Leibniz's huge plan for a Universal Characteristic, to map reality numerically, and then calculate the truths about it. Gödel seems to allow metaphysics to be done mathematically. |