Combining Philosophers

All the ideas for Hippias, Euclid and Ross P. Cameron

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


44 ideas

2. Reason / E. Argument / 6. Conclusive Proof
Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Moral realism doesn't seem to entail the existence of any things [Cameron]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
Surely if some propositions are grounded in existence, they all are? [Cameron]
If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
Give up objects necessitating truths, and say their natures cause the truths? [Cameron]
Determinate truths don't need extra truthmakers, just truthmakers that are themselves determinate [Cameron]
Orthodox Truthmaker applies to all propositions, and necessitates their truth [Cameron]
God fixes all the truths of the world by fixing what exists [Cameron]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
What the proposition says may not be its truthmaker [Cameron]
Rather than what exists, some claim that the truthmakers are ways of existence, dispositions, modalities etc [Cameron]
Truthmaking doesn't require realism, because we can be anti-realist about truthmakers [Cameron]
The facts about the existence of truthmakers can't have a further explanation [Cameron]
3. Truth / B. Truthmakers / 5. What Makes Truths / c. States of affairs make truths
Truthmaker requires a commitment to tropes or states of affairs, for contingent truths [Cameron]
3. Truth / B. Truthmakers / 6. Making Negative Truths
Without truthmakers, negative truths must be ungrounded [Cameron]
3. Truth / B. Truthmakers / 9. Making Past Truths
The present property 'having been F' says nothing about a thing's intrinsic nature [Cameron]
One temporal distibution property grounds our present and past truths [Cameron]
We don't want present truthmakers for the past, if they are about to cease to exist! [Cameron]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Maybe truthmaking and correspondence stand together, and are interdefinable [Cameron]
I support the correspondence theory because I believe in truthmakers [Cameron]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
7. Existence / D. Theories of Reality / 2. Realism
For realists it is analytic that truths are grounded in the world [Cameron]
Realism says a discourse is true or false, and some of it is true [Cameron]
Realism says truths rest on mind-independent reality; truthmaking theories are about which features [Cameron]
8. Modes of Existence / B. Properties / 3. Types of Properties
Being polka-dotted is a 'spatial distribution' property [Cameron]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Essentialists say intrinsic properties arise from what the thing is, irrespective of surroundings [Cameron]
An object's intrinsic properties are had in virtue of how it is, independently [Cameron]
9. Objects / E. Objects over Time / 1. Objects over Time
Most criteria for identity over time seem to leave two later objects identical to the earlier one [Cameron]
9. Objects / E. Objects over Time / 2. Objects that Change
Change is instantiation of a non-uniform distributional property, like 'being red-then-orange' [Cameron]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
We should reject distinct but indiscernible worlds [Cameron]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]
27. Natural Reality / D. Time / 3. Parts of Time / c. Intervals
Surely if things extend over time, then time itself must be extended? [Cameron]