Combining Texts

All the ideas for 'fragments/reports', 'Appearance and Reality' and 'Elements of Geometry'

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23 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
5182 Claims about 'the Absolute' are not even verifiable in principle [Ayer on Bradley]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
6864 Metaphysics is finding bad reasons for instinctive beliefs [Bradley]
2. Reason / E. Argument / 6. Conclusive Proof
8623 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
13907 If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
10999 Names need a means of reidentifying their referents [Bradley, by Read]
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]
8. Modes of Existence / A. Relations / 2. Internal Relations
6422 Internal relations are said to be intrinsic properties of two terms, and of the whole they compose [Bradley, by Russell]
7966 Relations must be linked to their qualities, but that implies an infinite regress of relations [Bradley]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
6404 British Idealists said reality is a single Mind which experiences itself [Bradley, by Grayling]
22299 Bradley's objective idealism accepts reality (the Absolute), but says we can't fully describe it [Bradley, by Potter]
21343 Qualities and relations are mere appearance; the Absolute is a single undifferentiated substance [Bradley, by Heil]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
6406 Reality is one, because plurality implies relations, and they assert a superior unity [Bradley]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]