Combining Texts

Ideas for 'Thinking About Mathematics', 'Letters to Samuel Clarke' and 'Investigations in the Foundations of Set Theory I'

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4 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
The principle of sufficient reason is needed if we are to proceed from maths to physics [Leibniz]
There is always a reason why things are thus rather than otherwise [Leibniz]
No reason could limit the quantity of matter, so there is no limit [Leibniz]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine]