Combining Texts

All the ideas for 'Philosophical Explanations', 'works' and 'Logical Atomism'

expand these ideas     |    start again     |     specify just one area for these texts

---

19 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis

6118	Philosophy is logical analysis, followed by synthesis [Russell]

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis

6116	A logical language would show up the fallacy of inferring reality from ordinary language [Russell]

1. Philosophy / G. Scientific Philosophy / 3. Scientism

6117	Philosophy should be built on science, to reduce error [Russell]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

3340	Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

3355	Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

6110	Subject-predicate logic (and substance-attribute metaphysics) arise from Aryan languages [Russell]

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

6107	It is logic, not metaphysics, that is fundamental to philosophy [Russell]

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

6115	Vagueness, and simples being beyond experience, are obstacles to a logical language [Russell]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

6109	Some axioms may only become accepted when they lead to obvious conclusions [Russell]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

22716

Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

6108	Maths can be deduced from logical axioms and the logic of relations [Russell]

7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms

10968

Russell gave up logical atomism because of negative, general and belief propositions [Russell, by Read]

6113	To mean facts we assert them; to mean simples we name them [Russell]

6114	'Simples' are not experienced, but are inferred at the limits of analysis [Russell]

21722

Better to construct from what is known, than to infer what is unknown [Russell]

7. Existence / D. Theories of Reality / 8. Facts / a. Facts

6111	As propositions can be put in subject-predicate form, we wrongly infer that facts have substance-quality form [Russell]

11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs

3570	Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]

13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts

2748	A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]

19. Language / A. Nature of Meaning / 1. Meaning

6112	Meaning takes many different forms, depending on different logical types [Russell]