Combining Texts

All the ideas for 'Modern Philosophy:introduction and survey', 'Begriffsschrift' and 'The Nature of Necessity'

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52 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]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Frege changed philosophy by extending logic's ability to check the grounds of thinking [Potter on Frege]
2. Reason / B. Laws of Thought / 1. Laws of Thought
We should not describe human laws of thought, but how to correctly track truth [Frege, by Fisher]
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 / E. Pragmatic Truth / 1. Pragmatic Truth
The pragmatist does not really have a theory of truth [Scruton]
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
I don't use 'subject' and 'predicate' in my way of representing a judgement [Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / d. Universal quantifier ∀
For Frege, 'All A's are B's' means that the concept A implies the concept B [Frege, by Walicki]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Frege has a judgement stroke (vertical, asserting or judging) and a content stroke (horizontal, expressing) [Frege, by Weiner]
The laws of logic are boundless, so we want the few whose power contains the others [Frege]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
In 1879 Frege developed second order logic [Frege, by Putnam]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Frege replaced Aristotle's subject/predicate form with function/argument form [Frege, by Weiner]
5. Theory of Logic / G. Quantification / 1. Quantification
A quantifier is a second-level predicate (which explains how it contributes to truth-conditions) [Frege, by George/Velleman]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
For Frege the variable ranges over all objects [Frege, by Tait]
Frege's domain for variables is all objects, but modern interpretations first fix the domain [Dummett on Frege]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Frege introduced quantifiers for generality [Frege, by Weiner]
Frege reduced most quantifiers to 'everything' combined with 'not' [Frege, by McCullogh]
5. Theory of Logic / H. Proof Systems / 1. Proof Systems
Proof theory began with Frege's definition of derivability [Frege, by Prawitz]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Frege produced axioms for logic, though that does not now seem the natural basis for logic [Frege, by Kaplan]
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 / 4. Axioms for Number / f. Mathematical induction
It may be possible to define induction in terms of the ancestral relation [Frege, by Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Frege's logic has a hierarchy of object, property, property-of-property etc. [Frege, by Smith,P]
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 / A. Nature of Existence / 1. Nature of Existence
Existence is not a first-order property, but the instantiation of a property [Frege, by Read]
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]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Plantinga says there is just this world, with possibilities expressed in propositions [Plantinga, by Armstrong]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
Possibilities for an individual can only refer to that individual, in some possible world [Plantinga, by Mackie,P]
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 / C. Assigning Meanings / 4. Compositionality
Frege's account was top-down and decompositional, not bottom-up and compositional [Frege, by Potter]
19. Language / F. Communication / 4. Private Language
Wittgenstein makes it impossible to build foundations from something that is totally private [Scruton]
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 / 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]
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 / a. Ontological Proof
A possible world contains a being of maximal greatness - which is existence in all worlds [Plantinga, by Davies,B]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The predicate 'exists' is actually a natural language expression for a quantifier [Frege, by Weiner]
'Existence' is not a predicate of 'man', but of the concept of man, saying it has at least one instance [Scruton]