Combining Texts

All the ideas for 'The Basing Relation', 'Intro to 2nd ed of Principia Mathematica' and 'Towards a Universal Characteristic'

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6 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

19370

'Blind thought' is reasoning without recognition of the ingredients of the reasoning [Leibniz, by Arthur,R]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

19391

We can assign a characteristic number to every single object [Leibniz]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

19390

Everything is subsumed under number, which is a metaphysical statics of the universe, revealing powers [Leibniz]

7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms

21681

Given all true atomic propositions, in theory every other truth can thereby be deduced [Russell]

11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs

19696

There are reasons 'for which' a belief is held, reasons 'why' it is believed, and reasons 'to' believe it [Neta]

19697

The basing relation of a reason to a belief should both support and explain the belief [Neta]