Combining Texts

All the ideas for 'fragments/reports', 'Sets, Aggregates and Numbers' and 'Reply to First Objections'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
You can ask all sorts of numerical questions about any one given set [Yourgrau]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
I can't be unaware of anything which is in me [Descartes]
23. Ethics / F. Existentialism / 5. Existence-Essence
Essence must be known before we discuss existence [Descartes]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
We can't prove a first cause from our inability to grasp infinity [Descartes]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle]