Combining Texts

All the ideas for 'Writing the Book of the World', 'The Sophist' and 'Mathematics is Megethology'

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76 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
We must fight fiercely for knowledge, understanding and intelligence [Plato]
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 / F. Analytic Philosophy / 7. Limitations of Analysis
The desire to split everything into its parts is unpleasant and unphilosophical [Plato]
2. Reason / C. Styles of Reason / 1. Dialectic
Good analysis involves dividing things into appropriate forms without confusion [Plato]
Dialectic should only be taught to those who already philosophise well [Plato]
2. Reason / C. Styles of Reason / 2. Elenchus
In discussion a person's opinions are shown to be in conflict, leading to calm self-criticism [Plato]
2. Reason / D. Definition / 13. Against Definition
Philosophical concepts are rarely defined, and are not understood by means of definitions [Sider]
It seems possible for a correct definition to be factually incorrect, as in defining 'contact' [Sider]
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 / F. Set Theory ST / 1. Set Theory
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
'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 / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
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 / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
What does 'that which is not' refer to? [Plato]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
If statements about non-existence are logically puzzling, so are statements about existence [Plato]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
To be is to have a capacity, to act on other things, or to receive actions [Plato]
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 / 6. Physicalism
Some alarming thinkers think that only things which you can touch exist [Plato]
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 / a. Ontological commitment
Whenever there's speech it has to be about something [Plato]
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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Good thinkers spot forms spread through things, or included within some larger form [Plato]
The not-beautiful is part of the beautiful, though opposed to it, and is just as real [Plato]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
If we see everything as separate, we can then give no account of it [Plato]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
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 / C. Rationalism / 1. Rationalism
A soul without understanding is ugly [Plato]
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]
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]
23. Ethics / A. Egoism / 1. Ethical Egoism
Wickedness is an illness of the soul [Plato]
25. Social Practice / E. Policies / 5. Education / c. Teaching
Didactic education is hard work and achieves little [Plato]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Many of the key theories of modern physics do not appear to be 'laws' [Sider]
The notion of law doesn't seem to enhance physical theories [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]