Ideas from 'Prolegomena to Any Future Metaphysic' by Immanuel Kant [1781], by Theme Structure
[found in 'Prolegomena to Any Future Metaphysic' by Kant,Immanuel (ed/tr Lucas,Peter G.) [Manchester UP 1971,0719004926]].
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1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
16931

Metaphysics is generating a priori knowledge by intuition and concepts, leading to the synthetic

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
16918

Mathematics cannot proceed just by the analysis of concepts

6. Mathematics / A. Nature of Mathematics / 3. Numbers / a. Numbers
16920

Numbers are formed by addition of units in time

6. Mathematics / A. Nature of Mathematics / 3. Numbers / q. Arithmetic
16929

7+5 = 12 is not analytic, because no analysis of 7+5 will reveal the concept of 12

6. Mathematics / A. Nature of Mathematics / 5. Geometry
16930

Geometry is not analytic, because a line's being 'straight' is a quality

16919

Geometry rests on our intuition of space

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
16910

Mathematics can only start from an a priori intuition which is not empirical but pure

16917

All necessary mathematical judgements are based on intuitions of space and time

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
16928

Mathematics cannot be empirical because it is necessary, and that has to be a priori

9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
11833

The substance, once the predicates are removed, remains unknown to us

11. Knowledge Aims / C. Knowing Reality / 3. Idealism
16923

I admit there are bodies outside us

12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
16916

A priori synthetic knowledge is only of appearances, not of things in themselves

12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
16915

A priori intuitions can only concern the objects of our senses

12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
16914

A priori intuition of objects is only possible by containing the form of my sensibility

12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
16924

I count the primary features of things (as well as the secondary ones) as mere appearances

12. Knowledge Sources / B. Perception / 3. Representation
16913

I can't intuit a present thing in itself, because the properties can't enter my representations

12. Knowledge Sources / D. Empiricism / 4. ProEmpiricism
16925

Appearance gives truth, as long as it is only used within experience

12. Knowledge Sources / E. Direct Knowledge / 1. Intuition
16911

Intuition is a representation that depends on the presence of the object

18. Thought / D. Concepts / 5. Origin of Concepts / a. Origin of concepts
16912

Some concepts can be made a priori, which are general thoughts of objects, like quantity or cause

19. Language / F. Analytic/Synthetic / 2. Analytic Propositions
16927

Analytic judgement rests on contradiction, since the predicate cannot be denied of the subject

16926

Analytic judgements say clearly what was in the concept of the subject

26. Natural Theory / B. Concepts of Nature / 3. Space / a. Space
16922

Space must have three dimensions, because only three lines can meet at right angles

26. Natural Theory / B. Concepts of Nature / 5. SpaceTime
16921

If all empirical sensation of bodies is removed, space and time are still left
