Combining Texts

All the ideas for 'Against 'Ostrich Nominalism'', 'Prolegomena to Any Future Metaphysic' and 'The Structure of Paradoxes of Self-Reference'

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38 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
My dogmatic slumber was first interrupted by David Hume [Kant]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is generating a priori knowledge by intuition and concepts, leading to the synthetic [Kant]
5. Theory of Logic / L. Paradox / 1. Paradox
Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics cannot proceed just by the analysis of concepts [Kant]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Geometry rests on our intuition of space [Kant]
Geometry is not analytic, because a line's being 'straight' is a quality [Kant]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers are formed by addition of units in time [Kant]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
7+5 = 12 is not analytic, because no analysis of 7+5 will reveal the concept of 12 [Kant]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Mathematics can only start from an a priori intuition which is not empirical but pure [Kant]
All necessary mathematical judgements are based on intuitions of space and time [Kant]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Mathematics cannot be empirical because it is necessary, and that has to be a priori [Kant]
7. Existence / D. Theories of Reality / 3. Reality
Some think of reality as made of things; I prefer facts or states of affairs [Armstrong]
8. Modes of Existence / D. Universals / 1. Universals
Particulars and properties are distinguishable, but too close to speak of a relation [Armstrong]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Refusal to explain why different tokens are of the same type is to be an ostrich [Armstrong]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
The substance, once the predicates are removed, remains unknown to us [Kant]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
'Transcendental' concerns how we know, rather than what we know [Kant]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
I admit there are bodies outside us [Kant]
'Transcendental' is not beyond experience, but a prerequisite of experience [Kant]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
A priori synthetic knowledge is only of appearances, not of things in themselves [Kant]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
A priori intuitions can only concern the objects of our senses [Kant]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
A priori intuition of objects is only possible by containing the form of my sensibility [Kant]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
I can make no sense of the red experience being similar to the quality in the object [Kant]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
I count the primary features of things (as well as the secondary ones) as mere appearances [Kant]
12. Knowledge Sources / B. Perception / 3. Representation
I can't intuit a present thing in itself, because the properties can't enter my representations [Kant]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
Appearance gives truth, as long as it is only used within experience [Kant]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition is a representation that depends on the presence of the object [Kant]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
Some concepts can be made a priori, which are general thoughts of objects, like quantity or cause [Kant]
19. Language / E. Analyticity / 1. Analytic Propositions
Analytic judgements say clearly what was in the concept of the subject [Kant]
Analytic judgement rests on contradiction, since the predicate cannot be denied of the subject [Kant]
27. Natural Reality / C. Space / 2. Space
Space must have three dimensions, because only three lines can meet at right angles [Kant]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
If all empirical sensation of bodies is removed, space and time are still left [Kant]