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All the ideas for 'Philosophy of Mathematics', 'Modern Philosophy:introduction and survey' and 'The Need for Roots'

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54 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
Philosophy aims to provide a theory of everything [Scruton]
1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
If p entails q, then p is sufficient for q, and q is necessary for p [Scruton]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
2. Reason / E. Argument / 4. Open Question
We may define 'good' correctly, but then ask whether the application of the definition is good [Scruton]
3. Truth / A. Truth Problems / 1. Truth
A true proposition is consistent with every other true proposition [Scruton]
3. Truth / A. Truth Problems / 3. Value of Truth
Truth is not a object we love - it is the radiant manifestation of reality [Weil]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
The pragmatist does not really have a theory of truth [Scruton]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
If maths contains unprovable truths, then maths cannot be reduced to a set of proofs [Scruton]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Creation produced a network or web of determinations [Weil]
8. Modes of Existence / B. Properties / 12. Denial of Properties
If possible worlds are needed to define properties, maybe we should abandon properties [Scruton]
10. Modality / A. Necessity / 11. Denial of Necessity
Hume assumes that necessity can only be de dicto, not de re [Scruton]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
The conceivable can't be a test of the possible, if there are things which are possible but inconceivable [Scruton]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Epistemology is about the justification of belief, not the definition of knowledge [Scruton]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
In the Cogito argument consciousness develops into self-consciousness [Scruton]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
Maybe our knowledge of truth and causation is synthetic a priori [Scruton]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Touch only seems to reveal primary qualities [Scruton]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
We only conceive of primary qualities as attached to secondary qualities [Scruton]
If primary and secondary qualities are distinct, what has the secondary qualities? [Scruton]
12. Knowledge Sources / B. Perception / 3. Representation
The representational theory says perceptual states are intentional states [Scruton]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
My belief that it will rain tomorrow can't be caused by its raining tomorrow [Scruton]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Logical positivism avoids scepticism, by closing the gap between evidence and conclusion [Scruton]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Why should you believe someone who says there are no truths? [Scruton]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Every event having a cause, and every event being determined by its cause, are not the same [Scruton]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
The very concept of a substance denies the possibility of mutual interaction and dependence [Scruton]
19. Language / F. Communication / 4. Private Language
Wittgenstein makes it impossible to build foundations from something that is totally private [Scruton]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The aesthete's treatment of beauty as amusement is sacreligious; beauty should nourish [Weil]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
Beauty is the proof of what is good [Weil]
23. Ethics / B. Contract Ethics / 5. Free Rider
Any social theory of morality has the problem of the 'free rider', who only pretends to join in [Scruton]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Respect is our only obligation, which can only be expressed through deeds, not words [Weil]
23. Ethics / D. Deontological Ethics / 2. Duty
Membership is the greatest source of obligation [Scruton]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The categorical imperative is not just individual, but can be used for negotiations between strangers [Scruton]
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
The most important human need is to have multiple roots [Weil]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
The need for order stands above all others, and is understood via the other needs [Weil]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Obligations only bind individuals, not collectives [Weil]
24. Political Theory / B. Nature of a State / 4. Citizenship
A citizen should be able to understand the whole of society [Weil]
Even the poorest should feel collective ownership, and participation in grand display [Weil]
24. Political Theory / B. Nature of a State / 5. Culture
Culture is an instrument for creating an ongoing succession of teachers [Weil]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
A lifelong head of society should only be a symbol, not a ruler [Weil]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Party politics in a democracy can't avoid an anti-democratic party [Weil]
24. Political Theory / D. Ideologies / 8. Socialism
Socialism tends to make a proletariat of the whole population [Weil]
24. Political Theory / D. Ideologies / 11. Capitalism
The capitalists neglect the people and the nation, and even their own interests [Weil]
25. Social Practice / B. Equalities / 1. Grounds of equality
By making money the sole human measure, inequality has become universal [Weil]
25. Social Practice / C. Rights / 1. Basis of Rights
People have duties, and only have rights because of the obligations of others to them [Weil]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
To punish people we must ourselves be innocent - but that undermines the desire to punish [Weil]
25. Social Practice / E. Policies / 1. War / d. Non-combatants
The soldier-civilian distinction should be abolished; every citizen is committed to a war [Weil]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Education is essentially motivation [Weil]
26. Natural Theory / C. Causation / 1. Causation
'Cause' used to just mean any valid explanation [Scruton]
27. Natural Reality / C. Space / 4. Substantival Space
Measuring space requires no movement while I do it [Scruton]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
'Existence' is not a predicate of 'man', but of the concept of man, saying it has at least one instance [Scruton]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion should quietly suffuse all human life with its light [Weil]