Combining Texts

All the ideas for 'What is so bad about Contradictions?', 'On Note L to Bayle's 'Rorarius'' and 'Scientific Attitude and Fallibilism'

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12 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
Someone standing in a doorway seems to be both in and not-in the room [Priest,G, by Sorensen]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Numbers are just names devised for counting [Peirce]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
Reasoning is based on statistical induction, so it can't achieve certainty or precision [Peirce]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
Innate truths are very uncertain and full of error, so they certainly have exceptions [Peirce]
12. Knowledge Sources / E. Direct Knowledge / 3. Inspiration
A truth is hard for us to understand if it rests on nothing but inspiration [Peirce]
If we decide an idea is inspired, we still can't be sure we have got the idea right [Peirce]
Only reason can establish whether some deliverance of revelation really is inspired [Peirce]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
The soul doesn't understand many of its own actions, if perceptions are confused and desires buried [Leibniz]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Only imagination can connect phenomena together in a rational way [Peirce]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
We should say that body is mechanism and soul is immaterial, asserting their independence [Leibniz]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
Minds unconsciously count vibration beats in music, and enjoy it when they coincide [Leibniz]