Combining Philosophers

All the ideas for Anaxarchus, John Gray and JP Burgess / G Rosen

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28 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Human knowledge may not produce well-being; the examined life may not be worth living [Gray]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Number words became nouns around the time of Plato [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen]
Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen]
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
Knowledge does not need minds or nervous systems; it is found in all living things [Gray]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
16. Persons / F. Free Will / 5. Against Free Will
The will hardly ever does anything; most of our life just happens to us [Gray]
18. Thought / E. Abstraction / 2. Abstracta by Selection
The old debate classified representations as abstract, not entities [Burgess/Rosen]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Nowadays we identify the free life with the good life [Gray]
27. Natural Reality / C. Space / 2. Space
If space is really just a force-field, then it is a physical entity [Burgess/Rosen]
27. Natural Reality / G. Biology / 4. Ecology
Over forty percent of the Earth's living tissue is human [Gray]
28. God / C. Attitudes to God / 5. Atheism
Free atheism should start by questioning its faith in humanity [Gray]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
Gnosticism has a supreme creator God, giving way to a possibly hostile Demiurge [Gray]
29. Religion / B. Monotheistic Religion / 2. Judaism
Judaism only became monotheistic around 550 BCE [Gray]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Without Christianity we lose the idea that human history has a meaning [Gray]
Christians introduced the idea that a religion needs a creed [Gray]
What was our original sin, and how could Christ's suffering redeem it? [Gray]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Buddhism has no divinity or souls, and the aim is to lose the illusion of a self [Gray]