Combining Texts

All the ideas for 'The Basing Relation', 'Russell' and 'Expositio super viii libros'

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7 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Knowledge is a quality existing subjectively in the soul [William of Ockham]
Sometimes 'knowledge' just concerns the conclusion, sometimes the whole demonstration [William of Ockham]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
There are reasons 'for which' a belief is held, reasons 'why' it is believed, and reasons 'to' believe it [Neta]
The basing relation of a reason to a belief should both support and explain the belief [Neta]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Knowledge is certain cognition of something that is true [William of Ockham]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Two propositions might seem self-evident, but contradict one another [Grayling]