Combining Philosophers

All the ideas for Robin Le Poidevin, Graham Priest and Lawrence Kohlberg

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86 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
Someone standing in a doorway seems to be both in and not-in the room [Priest,G, by Sorensen]
3. Truth / B. Truthmakers / 10. Making Future Truths
In the tenseless view, all times are equally real, so statements of the future have truth-values [Le Poidevin]
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
A logic is 'relevant' if premise and conclusion are connected, and 'paraconsistent' allows contradictions [Priest,G, by Friend]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic is one of the few first-order non-classical logics [Priest,G]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / a. Symbols of ST
X1 x X2 x X3... x Xn indicates the 'cartesian product' of those sets [Priest,G]
<a,b&62; is a set whose members occur in the order shown [Priest,G]
{x; A(x)} is a set of objects satisfying the condition A(x) [Priest,G]
{a1, a2, ...an} indicates that a set comprising just those objects [Priest,G]
a ∈ X says a is an object in set X; a ∉ X says a is not in X [Priest,G]
Φ indicates the empty set, which has no members [Priest,G]
{a} is the 'singleton' set of a (not the object a itself) [Priest,G]
X⊆Y means set X is a 'subset' of set Y [Priest,G]
X⊂Y means set X is a 'proper subset' of set Y [Priest,G]
X = Y means the set X equals the set Y [Priest,G]
X ∩ Y indicates the 'intersection' of sets X and Y, the objects which are in both sets [Priest,G]
Y - X is the 'relative complement' of X with respect to Y; the things in Y that are not in X [Priest,G]
X∪Y indicates the 'union' of all the things in sets X and Y [Priest,G]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
The 'union' of two sets is a set containing all the things in either of the sets [Priest,G]
The 'intersection' of two sets is a set of the things that are in both sets [Priest,G]
The 'relative complement' is things in the second set not in the first [Priest,G]
The 'induction clause' says complex formulas retain the properties of their basic formulas [Priest,G]
A 'cartesian product' of sets is the set of all the n-tuples with one member in each of the sets [Priest,G]
A 'set' is a collection of objects [Priest,G]
A 'member' of a set is one of the objects in the set [Priest,G]
An 'ordered pair' (or ordered n-tuple) is a set with its members in a particular order [Priest,G]
A 'singleton' is a set with only one member [Priest,G]
The 'empty set' or 'null set' has no members [Priest,G]
A set is a 'subset' of another set if all of its members are in that set [Priest,G]
A 'proper subset' is smaller than the containing set [Priest,G]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / c. Basic theorems of ST
The empty set Φ is a subset of every set (including itself) [Priest,G]
5. Theory of Logic / L. Paradox / 1. Paradox
Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
A thing which makes no difference seems unlikely to exist [Le Poidevin]
14. Science / B. Scientific Theories / 2. Aim of Science
We want illuminating theories, rather than coherent theories [Le Poidevin]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
In addition to causal explanations, they can also be inferential, or definitional, or purposive [Le Poidevin]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
We don't just describe a time as 'now' from a private viewpoint, but as a fact about the world [Le Poidevin]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Avoid punishment, then get rewards, avoid rejection, avoid guilt, accept contracts, follow conscience [Kohlberg, by Wilson,EO]
22. Metaethics / B. Value / 2. Values / e. Death
It is disturbing if we become unreal when we die, but if time is unreal, then we remain real after death [Le Poidevin]
22. Metaethics / B. Value / 2. Values / j. Evil
Evil can't be an illusion, because then the illusion that there is evil would be evil [Le Poidevin]
23. Ethics / F. Existentialism / 1. Existentialism
Existentialism focuses on freedom and self-making, and insertion into the world [Le Poidevin]
26. Natural Theory / C. Causation / 1. Causation
The logical properties of causation are asymmetry, transitivity and irreflexivity [Le Poidevin]
27. Natural Reality / C. Space / 3. Points in Space
We can identify unoccupied points in space, so they must exist [Le Poidevin]
If spatial points exist, then they must be stationary, by definition [Le Poidevin]
27. Natural Reality / C. Space / 4. Substantival Space
Absolute space explains actual and potential positions, and geometrical truths [Le Poidevin]
27. Natural Reality / C. Space / 5. Relational Space
For relationists moving an object beyond the edge of space creates new space [Le Poidevin]
27. Natural Reality / C. Space / 6. Space-Time
We distinguish time from space, because it passes, and it has a unique present moment [Le Poidevin]
27. Natural Reality / D. Time / 1. Nature of Time / e. Eventless time
Temporal vacuums would be unexperienced, unmeasured, and unending [Le Poidevin]
Since nothing occurs in a temporal vacuum, there is no way to measure its length [Le Poidevin]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
If the future is not real, we don't seem to have any obligation to future individuals [Le Poidevin]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
If things don't persist through time, then change makes no sense [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / b. Rate of time
Time can't speed up or slow down, so it doesn't seem to be a 'process' [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / c. Tenses and time
At the very least, minds themselves seem to be tensed [Le Poidevin]
Fiction seems to lack a tensed perspective, and offers an example of tenseless language [Le Poidevin]
It is the view of the future that really decides between tensed and tenseless views of time [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
In the B-series, time-positions are unchanging; in the A-series they change (from future to present to past) [Le Poidevin]
Things which have ceased change their A-series position; things that persist change their B-series position [Le Poidevin]
A-theory says past, present, future and flow exist; B-theory says this just reports our perspective [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
It is claimed that the tense view entails the unreality of both future and past [Le Poidevin]
Tensed theorists typically try to reduce the tenseless to the tensed [Le Poidevin]
We share a common now, but not a common here [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / f. Tenseless (B) series
The B-series doesn't seem to allow change [Le Poidevin]
If the B-universe is eternal, why am I trapped in a changing moment of it? [Le Poidevin]
The new tenseless theory offers indexical truth-conditions, instead of a reductive analysis [Le Poidevin]
To say that the past causes the present needs them both to be equally real [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
An ordered series can be undirected, but time favours moving from earlier to later [Le Poidevin]
If time's arrow is causal, how can there be non-simultaneous events that are causally unconnected? [Le Poidevin]
Time's arrow is not causal if there is no temporal gap between cause and effect [Le Poidevin]
If time's arrow is psychological then different minds can impose different orders on events [Le Poidevin]
There are Thermodynamic, Psychological and Causal arrows of time [Le Poidevin]
Presumably if time's arrow is thermodynamic then time ends when entropy is complete [Le Poidevin]
If time is thermodynamic then entropy is necessary - but the theory says it is probable [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / i. Time and motion
Instantaneous motion is an intrinsic disposition to be elsewhere [Le Poidevin]
The dynamic view of motion says it is primitive, and not reducible to objects, properties and times [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
If the present could have diverse pasts, then past truths can't have present truthmakers [Le Poidevin]
27. Natural Reality / D. Time / 3. Parts of Time / a. Beginning of time
The present is the past/future boundary, so the first moment of time was not present [Le Poidevin]
27. Natural Reality / D. Time / 3. Parts of Time / c. Intervals
The primitive parts of time are intervals, not instants [Le Poidevin]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
If time is infinitely divisible, then the present must be infinitely short [Le Poidevin]
27. Natural Reality / E. Cosmology / 10. Multiverse
The multiverse is distinct time-series, as well as spaces [Le Poidevin]
28. God / A. Divine Nature / 5. God and Time
God being inside or outside of time both raise a group of difficult problems [Le Poidevin]
How could a timeless God know what time it is? So could God be both timeless and omniscient? [Le Poidevin]