Combining Philosophers

All the ideas for Euclid, Jeremiah and Mark Rowlands

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31 ideas

1. Philosophy / H. Continental Philosophy / 4. Linguistic Structuralism
Structuralism is neo-Kantian idealism, with language playing the role of categories of understanding [Rowlands]
2. Reason / E. Argument / 6. Conclusive Proof
Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
If bivalence is rejected, then excluded middle must also be rejected [Rowlands]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is a one-way relation of dependence or determination between properties [Rowlands]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
It is argued that wholes possess modal and counterfactual properties that parts lack [Rowlands]
9. Objects / F. Identity among Objects / 4. Type Identity
Tokens are dated, concrete particulars; types are their general properties or kinds [Rowlands]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Strong idealism is the sort of mess produced by a Cartesian separation of mind and world [Rowlands]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Minds are rational, conscious, subjective, self-knowing, free, meaningful and self-aware [Rowlands]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Content externalism implies that we do not have privileged access to our own minds [Rowlands]
If someone is secretly transported to Twin Earth, others know their thoughts better than they do [Rowlands]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Supervenience of mental and physical properties often comes with token-identity of mental and physical particulars [Rowlands]
18. Thought / C. Content / 1. Content
The content of a thought is just the meaning of a sentence [Rowlands]
20. Action / A. Definition of Action / 4. Action as Movement
Action is bodily movement caused by intentional states [Rowlands]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Moral intuition seems unevenly distributed between people [Rowlands]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Jeremiah implied a link between weakness and goodness, and the evil of the state [Jeremiah, by Johnson,P]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
The 17th century reintroduced atoms as mathematical modes of Euclidean space [Rowlands]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
Natural kinds are defined by their real essence, as in gold having atomic number 79 [Rowlands]
27. Natural Reality / G. Biology / 4. Ecology
It is common to see the value of nature in one feature, such as life, diversity, or integrity [Rowlands]
28. God / A. Divine Nature / 3. Divine Perfections
Do I not fill heaven and earth? saith the Lord [Jeremiah]
28. God / C. Attitudes to God / 3. Deism
Am I a God afar off, and not a God close at hand? [Jeremiah]