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All the ideas for 'Structures and Structuralism in Phil of Maths', 'On the Nature of the Universe' and 'Objects and Persons'

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88 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Empirical investigation can't discover if holes exist, or if two things share a colour [Merricks]
3. Truth / A. Truth Problems / 1. Truth
The concept of truth was originated by the senses [Lucretius]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Prolonged events don't seem to endure or exist at any particular time [Merricks]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
A crumbling statue can't become vague, because vagueness is incoherent [Merricks]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Intrinsic properties are those an object still has even if only that object exists [Merricks]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
9. Objects / A. Existence of Objects / 1. Physical Objects
I say that most of the objects of folk ontology do not exist [Merricks]
Is swimming pool water an object, composed of its mass or parts? [Merricks]
9. Objects / A. Existence of Objects / 5. Simples
We can eliminate objects without a commitment to simples [Merricks]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Merricks agrees that there are no composite objects, but offers a different semantics [Merricks, by Liggins]
The 'folk' way of carving up the world is not intrinsically better than quite arbitrary ways [Merricks]
If atoms 'arranged baseballwise' break a window, that analytically entails that a baseball did it [Merricks, by Thomasson]
Overdetermination: the atoms do all the causing, so the baseball causes no breakage [Merricks]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Clay does not 'constitute' a statue, as they have different persistence conditions (flaking, squashing) [Merricks]
9. Objects / C. Structure of Objects / 5. Composition of an Object
There is no visible difference between statues, and atoms arranged statuewise [Merricks]
'Unrestricted composition' says any two things can make up a third thing [Merricks]
Composition as identity is false, as identity is never between a single thing and many things [Merricks]
Composition as identity is false, as it implies that things never change their parts [Merricks]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
'Composition' says things are their parts; 'constitution' says a whole substance is an object [Merricks]
It seems wrong that constitution entails that two objects are wholly co-located [Merricks]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Objects decompose (it seems) into non-overlapping parts that fill its whole region [Merricks]
9. Objects / E. Objects over Time / 13. No Identity over Time
Eliminativism about objects gives the best understanding of the Sorites paradox [Merricks]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
If my counterpart is happy, that is irrelevant to whether I 'could' have been happy [Merricks]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
If the senses are deceptive, reason, which rests on them, is even worse [Lucretius]
The senses are much the best way to distinguish true from false [Lucretius]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
The 'warrant' for a belief is what turns a true belief into knowledge [Merricks]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
The only possible standard for settling doubts is the foundation of the senses [Lucretius]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
Most supposed delusions of the senses are really misinterpretations by the mind [Lucretius]
14. Science / C. Induction / 1. Induction
Even simple facts are hard to believe at first hearing [Lucretius]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
The mind is in the middle of the breast, because there we experience fear and joy [Lucretius]
The mind is a part of a man, just like a hand or an eye [Lucretius]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
The separate elements and capacities of a mind cannot be distinguished [Lucretius]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
You hold a child in your arms, so it is not mental substance, or mental state, or software [Merricks]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
Maybe the word 'I' can only refer to persons [Merricks]
16. Persons / F. Free Will / 2. Sources of Free Will
The actions of the mind are not determinate and passive, because atoms can swerve [Lucretius]
16. Persons / F. Free Will / 7. Compatibilism
Free will and determinism are incompatible, since determinism destroys human choice [Merricks]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
Only bodies can touch one another [Lucretius]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
The earth is and always has been an insentient being [Lucretius]
Particles may have sensation, but eggs turning into chicks suggests otherwise [Lucretius]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Human organisms can exercise downward causation [Merricks]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The mind moves limbs, wakes the body up, changes facial expressions, which involve touch [Lucretius]
Lions, foxes and deer have distinct characters because their minds share in their bodies [Lucretius]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
You needn't be made of laughing particles to laugh, so why not sensation from senseless seeds? [Lucretius]
18. Thought / C. Content / 7. Narrow Content
The hypothesis of solipsism doesn't seem to be made incoherent by the nature of mental properties [Merricks]
Before Creation it is assumed that God still had many many mental properties [Merricks]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
One man's meat is another man's poison [Lucretius]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Our bodies weren't created to be used; on the contrary, their creation makes a use possible [Lucretius]
22. Metaethics / B. Value / 2. Values / e. Death
The dead are no different from those who were never born [Lucretius]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Nature only wants two things: freedom from pain, and pleasure [Lucretius]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Nature runs the universe by herself without the aid of gods [Lucretius]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
There can be no centre in infinity [Lucretius]
The universe must be limitless, since there could be nothing outside to limit it [Lucretius]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Everything is created and fed by nature from atoms, and they return to atoms in death [Lucretius]
If an object is infinitely subdivisible, it will be the same as the whole universe [Lucretius]
In downward motion, atoms occasionally swerve slightly for no reason [Lucretius]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
Nothing can break the binding laws of eternity [Lucretius]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Atoms move themselves [Lucretius]
If there were no space there could be no movement, or even creation [Lucretius]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
It is quicker to break things up than to assemble them [Lucretius]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
We can only sense time by means of movement, or its absence [Lucretius]
27. Natural Reality / E. Cosmology / 1. Cosmology
This earth is very unlikely to be the only one created [Lucretius]
27. Natural Reality / E. Cosmology / 2. Eternal Universe
Nothing can be created by divine power out of nothing [Lucretius]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
If matter wasn't everlasting, everything would have disappeared by now [Lucretius]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
The universe can't have been created by gods, because it is too imperfect [Lucretius]
28. God / C. Attitudes to God / 3. Deism
Gods are tranquil and aloof, and have no need of or interest in us [Lucretius]
28. God / C. Attitudes to God / 5. Atheism
Why does Jupiter never hurl lightning from a blue sky? [Lucretius]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Spirit is mortal [Lucretius]
For a separated spirit to remain sentient it would need sense organs attached to it [Lucretius]
An immortal mind couldn't work harmoniously with a mortal body [Lucretius]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The mind is very small smooth particles, which evaporate at death [Lucretius]
If spirit is immortal and enters us at birth, why don't we remember a previous existence? [Lucretius]