Combining Texts

All the ideas for 'The Value of Science', 'On Perceptions' and 'Is Mathematics purely Linguistic?'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 7. Formalism

21570	Numbers are just verbal conveniences, which can be analysed away [Russell]
	Full Idea: Numbers are nothing but a verbal convenience, and disappear when the propositions that seem to contain them are fully written out.
	From: Bertrand Russell (Is Mathematics purely Linguistic? [1952], p.301)
	A reaction: This is the culmination of the process which began with his 1905 theory of definite descriptions. The intervening step was Wittgenstein's purely formal account of the logical connectives.

11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism

12739	If we are dreaming, it is sufficient that the events are coherent, and obey laws [Leibniz]
	Full Idea: Skeptics may doubt the truth of things, and if it pleases them to call the things that occur to us dreams, it suffices for these dreams to be in agreement with each other, and to obey certain laws.
	From: Gottfried Leibniz (On Perceptions [1680], A6.4.1398), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 7
	A reaction: Leibniz flirted a great deal with phenomenalism throughout the middle of his career, as charted by Garber. Descartes made similar points. It is really only Berkeley who took this idea seriously.

14. Science / A. Basis of Science / 4. Prediction

12738	Successful prediction shows proficiency in nature [Leibniz]
	Full Idea: He who can finally make predictions with success must be said to have become sufficiently proficient in nature.
	From: Gottfried Leibniz (On Perceptions [1680], A6.4.1398), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 7
	A reaction: Is prediction achieved by knowledge of laws, or knowledge of essences and powers? The trouble with most laws is that they permit exceptions. 'Things fall, unless prevented' etc.

26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature

15877	The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]
	Full Idea: In Poincaré's view, we try to construct a language within which the brute facts of experience are expressed as comprehensively and as elegantly as possible. The job of science is the forging of a language precisely suited to that purpose.
	From: report of Henri Poincaré (The Value of Science [1906], Pt III) by Rom Harré - Laws of Nature 2
	A reaction: I'm often struck by how obscure and difficult our accounts of self-evident facts can be. Chairs are easy, and the metaphysics of chairs is hideous. Why is that? I'm a robust realist, but I like Poincaré's idea. He permits facts.