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All the ideas for 'fragments/reports', 'The German Ideology' and 'The Nature of Mathematical Knowledge'

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57 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is no more than abstractions concerning observations of human historical development [Marx/Engels]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik]
Mathematical a priorism is conceptualist, constructivist or realist [Kitcher]
The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher]
The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers stand to measurement as natural numbers stand to counting [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
Complex numbers were only accepted when a geometrical model for them was found [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A one-operation is the segregation of a single object [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
The old view is that mathematics is useful in the world because it describes the world [Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
With infinitesimals, you divide by the time, then set the time to zero [Kitcher]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher]
Mathematical intuition is not the type platonism needs [Kitcher]
If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Mathematical knowledge arises from basic perception [Kitcher]
My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher]
We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher]
The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Arithmetic is an idealizing theory [Kitcher]
Arithmetic is made true by the world, but is also made true by our constructions [Kitcher]
We develop a language for correlations, and use it to perform higher level operations [Kitcher]
Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher]
If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher]
7. Existence / D. Theories of Reality / 6. Physicalism
Philosophical problems are resolved into empirical facts [Marx/Engels]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Abstract objects were a bad way of explaining the structure in mathematics [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
A priori knowledge comes from available a priori warrants that produce truth [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
In long mathematical proofs we can't remember the original a priori basis [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
'Society determines consciousness' is contradictory; society only exists in minds [Weil on Marx/Engels]
Life is not determined by consciousness, but consciousness by life [Marx/Engels]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Language co-exists with consciousness, and makes it social [Marx/Engels]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The nature of an individual coincides with what they produce and how they produce it [Marx/Engels]
Consciousness is a social product [Marx/Engels]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
When aristocracy or the bourgeoisie dominate, certain values dominate with them [Marx/Engels]
23. Ethics / F. Existentialism / 6. Authentic Self
Young Hegelians proposed changing our present consciousness for liberating critical consciousness [Marx/Engels]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Producing their own subsistence distinguishes men from animals [Marx/Engels]
Men distinguish themselves from animals when they begin to produce their means of subsistence [Marx/Engels]
Individuals are mutually hostile unless they group together in competition with other groups [Marx/Engels]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Only in community are people able to cultivate their gifts, and therefore be free [Marx/Engels]
24. Political Theory / D. Ideologies / 9. Communism
Young Hegelians think consciousness is chains for men, where old Hegelians think it the bond of society [Marx/Engels]
In communist society we are not trapped in one activity, but can act freely [Marx/Engels]
If the common interest imposes on the individual, his actions become alienated and enslaving [Marx/Engels]
The class controlling material production also controls mental production [Marx/Engels]
The revolutionary class is opposed to 'class', and represents all of society [Marx/Engels]
To assert themselves as individuals, the proletarians must overthrow the State [Marx/Engels]
25. Social Practice / A. Freedoms / 1. Slavery
Slavery cannot be abolished without the steam-engine [Marx/Engels]
25. Social Practice / A. Freedoms / 4. Free market
Communism abolishes private property and dissolves the powerful world market [Marx/Engels]
25. Social Practice / C. Rights / 4. Property rights
The law says private property is the result of the general will [Marx/Engels]
25. Social Practice / E. Policies / 5. Education / d. Study of history
Human history must always be studied in relation to industry and exchange [Marx/Engels]
Most historians are trapped in the illusions of their own epoch [Marx/Engels]