Combining Texts

All the ideas for 'Writing the Book of the World', 'The Nature of Mathematical Knowledge' and 'Letters to Mersenne'

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84 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Your metaphysics is 'cheating' if your ontology won't support the beliefs you accept [Sider]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Metaphysics is not about what exists or is true or essential; it is about the structure of reality [Sider]
Extreme doubts about metaphysics also threaten to undermine the science of unobservables [Sider]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
It seems unlikely that the way we speak will give insights into the universe [Sider]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Conceptual analysts trust particular intuitions much more than general ones [Sider]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
My Meditations are the complete foundation of my physics [Descartes]
2. Reason / D. Definition / 13. Against Definition
It seems possible for a correct definition to be factually incorrect, as in defining 'contact' [Sider]
Philosophical concepts are rarely defined, and are not understood by means of definitions [Sider]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth is such a transcendentally clear notion that it cannot be further defined [Descartes]
3. Truth / A. Truth Problems / 3. Value of Truth
We don't care about plain truth, but truth in joint-carving terms [Sider]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
Orthodox truthmaker theories make entities fundamental, but that is poor for explanation [Sider]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Barcan schema implies if X might have fathered something, there is something X might have fathered [Sider]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher]
4. Formal Logic / G. Formal Mereology / 1. Mereology
'Gunk' is an object in which proper parts all endlessly have further proper parts [Sider]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Which should be primitive in mereology - part, or overlap? [Sider]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
There is a real issue over what is the 'correct' logic [Sider]
'It is raining' and 'it is not raining' can't be legislated, so we can't legislate 'p or ¬p' [Sider]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic is good for mathematics and science, but less good for natural language [Sider]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Modal accounts of logical consequence are simple necessity, or essential use of logical words [Sider]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Define logical constants by role in proofs, or as fixed in meaning, or as topic-neutral [Sider]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
'Tonk' is supposed to follow the elimination and introduction rules, but it can't be so interpreted [Sider]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik]
Mathematical a priorism is conceptualist, constructivist or realist [Kitcher]
The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher]
The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers stand to measurement as natural numbers stand to counting [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
Complex numbers were only accepted when a geometrical model for them was found [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A one-operation is the segregation of a single object [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
The old view is that mathematics is useful in the world because it describes the world [Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
With infinitesimals, you divide by the time, then set the time to zero [Kitcher]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Mathematical intuition is not the type platonism needs [Kitcher]
If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher]
Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Mathematical knowledge arises from basic perception [Kitcher]
My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher]
We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher]
The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Arithmetic is an idealizing theory [Kitcher]
Arithmetic is made true by the world, but is also made true by our constructions [Kitcher]
We develop a language for correlations, and use it to perform higher level operations [Kitcher]
Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher]
If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is a modal connection [Sider]
7. Existence / C. Structure of Existence / 6. Fundamentals / b. Types of fundamental
Is fundamentality in whole propositions (and holistic), or in concepts (and atomic)? [Sider]
Tables and chairs have fundamental existence, but not fundamental natures [Sider]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Unlike things, stuff obeys unrestricted composition and mereological essentialism [Sider]
7. Existence / D. Theories of Reality / 9. States of Affairs
We must distinguish 'concrete' from 'abstract' and necessary states of affairs. [Sider]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
Accept the ontology of your best theory - and also that it carves nature at the joints [Sider]
8. Modes of Existence / B. Properties / 3. Types of Properties
A property is intrinsic if an object alone in the world can instantiate it [Sider]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Predicates can be 'sparse' if there is a universal, or if there is a natural property or relation [Sider]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Abstract objects were a bad way of explaining the structure in mathematics [Kitcher]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Essence (even if nonmodal) is not fundamental in metaphysics [Sider]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Humeans say that we decide what is necessary [Sider]
Modal terms in English are entirely contextual, with no modality outside the language [Sider]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
If truths are necessary 'by convention', that seems to make them contingent [Sider]
Conventionalism doesn't seem to apply to examples of the necessary a posteriori [Sider]
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
Humeans says mathematics and logic are necessary because that is how our concept of necessity works [Sider]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
The world does not contain necessity and possibility - merely how things are [Sider]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
A priori knowledge comes from available a priori warrants that produce truth [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
In long mathematical proofs we can't remember the original a priori basis [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo]
14. Science / B. Scientific Theories / 2. Aim of Science
A theory which doesn't fit nature is unexplanatory, even if it is true [Sider]
14. Science / B. Scientific Theories / 8. Ramsey Sentences
If I used Ramsey sentences to eliminate fundamentality from my theory, that would be a real loss [Sider]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Problem predicates in induction don't reflect the structure of nature [Sider]
Two applications of 'grue' do not guarantee a similarity between two things [Sider]
14. Science / C. Induction / 6. Bayes's Theorem
Bayes produces weird results if the prior probabilities are bizarre [Sider]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Explanations must cite generalisations [Sider]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
If the ultimate explanation is a list of entities, no laws, patterns or mechanisms can be cited [Sider]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Intentionality is too superficial to appear in the catalogue of ultimate physics [Sider]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Prior to conventions, not all green things were green? [Sider]
19. Language / E. Analyticity / 2. Analytic Truths
Conventions are contingent and analytic truths are necessary, so that isn't their explanation [Sider]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
Analyticity has lost its traditional role, which relied on truth by convention [Sider]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The notion of law doesn't seem to enhance physical theories [Sider]
Many of the key theories of modern physics do not appear to be 'laws' [Sider]
27. Natural Reality / C. Space / 4. Substantival Space
Space has real betweenness and congruence structure (though it is not the Euclidean concepts) [Sider]
27. Natural Reality / C. Space / 6. Space-Time
The central question in the philosophy of time is: How alike are time and space? [Sider]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
The spotlight theorists accepts eternal time, but with a spotlight of the present moving across it [Sider]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
I can't prove the soul is indestructible, only that it is separate from the mortal body [Descartes]