Combining Texts

All the ideas for 'The Origin of the Work of Art', 'Truthmakers, Realism and Ontology' and 'Elements of Geometry'

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27 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
15585 Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt]
2. Reason / E. Argument / 6. Conclusive Proof
8623 Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
18877 Moral realism doesn't seem to entail the existence of any things [Cameron]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
18868 Surely if some propositions are grounded in existence, they all are? [Cameron]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
18867 Orthodox Truthmaker applies to all propositions, and necessitates their truth [Cameron]
18873 God fixes all the truths of the world by fixing what exists [Cameron]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
18879 What the proposition says may not be its truthmaker [Cameron]
18880 Rather than what exists, some claim that the truthmakers are ways of existence, dispositions, modalities etc [Cameron]
18874 Truthmaking doesn't require realism, because we can be anti-realist about truthmakers [Cameron]
3. Truth / B. Truthmakers / 6. Making Negative Truths
18869 Without truthmakers, negative truths must be ungrounded [Cameron]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
18871 I support the correspondence theory because I believe in truthmakers [Cameron]
18870 Maybe truthmaking and correspondence stand together, and are interdefinable [Cameron]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
13907 If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
6297 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
9603 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
9894 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
8738 Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
22278 Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
8673 Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
10250 Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
10302 Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
14157 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
1600 Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
7. Existence / D. Theories of Reality / 2. Realism
18881 For realists it is analytic that truths are grounded in the world [Cameron]
18875 Realism says a discourse is true or false, and some of it is true [Cameron]
18878 Realism says truths rest on mind-independent reality; truthmaking theories are about which features [Cameron]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
18872 We should reject distinct but indiscernible worlds [Cameron]