Combining Philosophers

All the ideas for Reiss,J/Spreger,J, Mohammed and Keith Hossack

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60 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Instead of prayer and charity, sinners pursue vain disputes and want their own personal scripture [Mohammed]
2. Reason / A. Nature of Reason / 5. Objectivity
One view says objectivity is making a successful claim which captures the facts [Reiss/Sprenger]
An absolute scientific picture of reality must not involve sense experience, which is perspectival [Reiss/Sprenger]
Topic and application involve values, but can evidence and theory choice avoid them? [Reiss/Sprenger]
The Value-Free Ideal in science avoids contextual values, but embraces epistemic values [Reiss/Sprenger]
Value-free science needs impartial evaluation, theories asserting facts, and right motivation [Reiss/Sprenger]
Thermometers depend on the substance used, and none of them are perfect [Reiss/Sprenger]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
14. Science / A. Basis of Science / 3. Experiment
The 'experimenter's regress' says success needs reliability, which is only tested by success [Reiss/Sprenger]
14. Science / C. Induction / 6. Bayes's Theorem
The Bayesian approach is explicitly subjective about probabilities [Reiss/Sprenger]
18. Thought / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
23. Ethics / B. Contract Ethics / 1. Contractarianism
You may break off a treaty if you fear treachery from your ally [Mohammed]
Repay evil with good and your enemies will become friends (though this is hard) [Mohammed]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Allah rewards those who are devout, sincere, patient, humble, charitable, chaste, and who fast [Mohammed]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Those who avenge themselves when wronged incur no guilt [Mohammed]
25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime
Punish theft in men or women by cutting off their hands [Mohammed]
25. Social Practice / F. Life Issues / 1. Causing Death
Killing a human, except as just punishment, is like killing all mankind [Mohammed]
Do not kill except for a just cause [Mohammed]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]
28. God / A. Divine Nature / 2. Divine Nature
Allah is lord of creation, compassionate, merciful, king of judgement-day [Mohammed]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
True believers see that Allah made the night for rest and the day to give light [Mohammed]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Allah cannot have begotten a son, as He is self-sufficient [Mohammed]
29. Religion / B. Monotheistic Religion / 6. Islam
Unbelievers try to interpret the ambiguous parts of the Koran, simply to create dissension [Mohammed]
He that kills a believer by design shall burn in Hell for ever [Mohammed]
Make war on the unbelievers until Allah's religion reigns supreme [Mohammed]
Do not split into sects, exulting in separate beliefs [Mohammed]
I created mankind that it might worship Me [Mohammed]
The Koran is certainly composed by Allah; no one could compose a chapter like it [Mohammed]
There shall be no compulsion in religion [Mohammed]
Be patient with unbelievers, and leave them to the judgement of Allah [Mohammed]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
The righteous shall dwell on couches in gardens, wedded to dark-eyed houris [Mohammed]
Heaven will be reclining on couches, eating fruit, attended by virgins [Mohammed]
29. Religion / D. Religious Issues / 2. Immortality / e. Hell
The unbelievers shall drink boiling water [Mohammed]
Unbelievers will have their skin repeatedly burned off in hell [Mohammed]