Combining Texts

All the ideas for 'Plural Quantification', 'Prolegomena to Any Future Metaphysic' and 'Reality is Not What it Seems'

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51 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]
2. Reason / D. Definition / 12. Paraphrase
'Some critics admire only one another' cannot be paraphrased in singular first-order [Linnebo]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
A pure logic is wholly general, purely formal, and directly known [Linnebo]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Second-order quantification and plural quantification are different [Linnebo]
Traditionally we eliminate plurals by quantifying over sets [Linnebo]
Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo]
Plural plurals are unnatural and need a first-level ontology [Linnebo]
Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli]
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 / B. Change in Existence / 2. Processes
Quantum mechanics deals with processes, rather than with things [Rovelli]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
Quantum mechanics describes the world entirely as events [Rovelli]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We speak of a theory's 'ideological commitments' as well as its 'ontological commitments' [Linnebo]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Ordinary speakers posit objects without concern for ontology [Linnebo]
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 / C. Assigning Meanings / 3. Predicates
Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does? [Linnebo]
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]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
There are probably no infinities, and 'infinite' names what we do not yet know [Rovelli]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The basic ideas of fields and particles are merged in quantum mechanics [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
Because it is quantised, a field behaves like a set of packets of energy [Rovelli]
There are about fifteen particles fields, plus a few force fields [Rovelli]
The world consists of quantum fields, with elementary events happening in spacetime [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
Electrons only exist when they interact, and their being is their combination of quantum leaps [Rovelli]
Electrons are not waves, because their collisions are at a point, and not spread out [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Quantum Theory describes events and possible interactions - not how things are [Rovelli]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Nature has three aspects: granularity, indeterminacy, and relations [Rovelli]
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 / C. Space / 4. Substantival Space
The world is just particles plus fields; space is the gravitational field [Rovelli]
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]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
Only heat distinguishes past from future [Rovelli]