Combining Texts

All the ideas for 'Theaetetus', 'Objects and Persons' and 'On the Introduction of Transfinite Numbers'

expand these ideas     |    start again     |     specify just one area for these texts


66 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophers are always switching direction to something more interesting [Plato]
1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Understanding mainly involves knowing the elements, not their combinations [Plato]
Either a syllable is its letters (making parts as knowable as whole) or it isn't (meaning it has no parts) [Plato]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Empirical investigation can't discover if holes exist, or if two things share a colour [Merricks]
2. Reason / A. Nature of Reason / 6. Coherence
A rational account is essentially a weaving together of things with names [Plato]
2. Reason / C. Styles of Reason / 3. Eristic
Eristic discussion is aggressive, but dialectic aims to help one's companions in discussion [Plato]
2. Reason / D. Definition / 4. Real Definition
A primary element has only a name, and no logos, but complexes have an account, by weaving the names [Plato]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We master arithmetic by knowing all the numbers in our soul [Plato]
7. Existence / B. Change in Existence / 1. Nature of Change
There seem to be two sorts of change: alteration and motion [Plato]
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]
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
'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]
There is no visible difference between statues, and atoms arranged statuewise [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]
If a word has no parts and has a single identity, it turns out to be the same kind of thing as a letter [Plato]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A sum is that from which nothing is lacking, which is a whole [Plato]
The whole can't be the parts, because it would be all of the parts, which is the whole [Plato]
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]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Things are only knowable if a rational account (logos) is possible [Plato]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Expertise is knowledge of the whole by means of the parts [Plato]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
It is impossible to believe something which is held to be false [Plato]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
How can a belief exist if its object doesn't exist? [Plato]
12. Knowledge Sources / B. Perception / 1. Perception
Perception is infallible, suggesting that it is knowledge [Plato]
Our senses could have been separate, but they converge on one mind [Plato]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
With what physical faculty do we perceive pairs of opposed abstract qualities? [Plato]
You might mistake eleven for twelve in your senses, but not in your mind [Plato]
Thought must grasp being itself before truth becomes possible [Plato]
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 / A. Justification Problems / 1. Justification / b. Need for justification
An inadequate rational account would still not justify knowledge [Plato]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Parts and wholes are either equally knowable or equally unknowable [Plato]
Without distinguishing marks, how do I know what my beliefs are about? [Plato]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
A rational account might be seeing an image of one's belief, like a reflection in a mirror [Plato]
A rational account involves giving an image, or analysis, or giving a differentiating mark [Plato]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Maybe primary elements can be named, but not receive a rational account [Plato]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
A rational account of a wagon would mean knowledge of its hundred parts [Plato]
13. Knowledge Criteria / D. Scepticism / 5. Dream Scepticism
What evidence can be brought to show whether we are dreaming or not? [Plato]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
If you claim that all beliefs are true, that includes beliefs opposed to your own [Plato]
How can a relativist form opinions about what will happen in the future? [Plato]
Clearly some people are superior to others when it comes to medicine [Plato]
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 / 7. Compatibilism
Free will and determinism are incompatible, since determinism destroys human choice [Merricks]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Human organisms can exercise downward causation [Merricks]
18. Thought / C. Content / 7. Narrow Content
Before Creation it is assumed that God still had many many mental properties [Merricks]
The hypothesis of solipsism doesn't seem to be made incoherent by the nature of mental properties [Merricks]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
God must be the epitome of goodness, and we can only approach a divine state by being as good as possible [Plato]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
There must always be some force of evil ranged against good [Plato]