Combining Texts

All the ideas for 'Defending the Axioms', 'Phenomenalism' and 'Theses on Feuerbach'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophers have interpreted the world, but the point is to change it [Marx]
2. Reason / A. Nature of Reason / 5. Objectivity
Whether human thinking can be 'true' must be decided in practice, not theory [Marx]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Modern phenomenalism holds that objects are logical constructions out of sense-data [Ayer]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
The concept of sense-data allows us to discuss appearances without worrying about reality [Ayer]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
The authentic self exists at the level of class, rather than the individual [Marx, by Dunt]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The human essence is not found in individuals but in social relations [Marx]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religious feeling is social in origin [Marx]