Combining Texts

All the ideas for 'On the Nature of the Universe', 'Virtues of the Mind' and 'The Nature of Mathematical Knowledge'

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108 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Unlike knowledge, wisdom cannot be misused [Zagzebski]
1. Philosophy / A. Wisdom / 2. Wise People
Wisdom is the property of a person, not of their cognitive state [Zagzebski, by Whitcomb]
2. Reason / D. Definition / 2. Aims of Definition
Precision is only one of the virtues of a good definition [Zagzebski]
2. Reason / E. Argument / 1. Argument
Objection by counterexample is weak, because it only reveals inaccuracies in one theory [Zagzebski]
3. Truth / A. Truth Problems / 1. Truth
The concept of truth was originated by the senses [Lucretius]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik]
Mathematical a priorism is conceptualist, constructivist or realist [Kitcher]
The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher]
The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers stand to measurement as natural numbers stand to counting [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
Complex numbers were only accepted when a geometrical model for them was found [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A one-operation is the segregation of a single object [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
The old view is that mathematics is useful in the world because it describes the world [Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
With infinitesimals, you divide by the time, then set the time to zero [Kitcher]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Mathematical intuition is not the type platonism needs [Kitcher]
If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher]
Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Mathematical knowledge arises from basic perception [Kitcher]
My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher]
We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher]
The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Arithmetic is an idealizing theory [Kitcher]
Arithmetic is made true by the world, but is also made true by our constructions [Kitcher]
We develop a language for correlations, and use it to perform higher level operations [Kitcher]
Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher]
If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Abstract objects were a bad way of explaining the structure in mathematics [Kitcher]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Modern epistemology is too atomistic, and neglects understanding [Zagzebski]
Epistemology is excessively atomic, by focusing on justification instead of understanding [Zagzebski]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
Truth is valuable, but someone knowing the truth is more valuable [Zagzebski]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Some beliefs are fairly voluntary, and others are not at all so [Zagzebski]
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
Knowledge either aims at a quantity of truths, or a quality of understanding of truths [Zagzebski]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
A priori knowledge comes from available a priori warrants that produce truth [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
In long mathematical proofs we can't remember the original a priori basis [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher]
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
A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
For internalists Gettier situations are where internally it is fine, but there is an external mishap [Zagzebski]
Gettier problems are always possible if justification and truth are not closely linked [Zagzebski]
We avoid the Gettier problem if the support for the belief entails its truth [Zagzebski]
Gettier cases arise when good luck cancels out bad luck [Zagzebski]
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
Intellectual virtues are forms of moral virtue [Zagzebski]
Intellectual and moral prejudice are the same vice (and there are other examples) [Zagzebski]
We can name at least thirteen intellectual vices [Zagzebski]
A justified belief emulates the understanding and beliefs of an intellectually virtuous person [Zagzebski]
A reliable process is no use without the virtues to make use of them [Zagzebski]
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 / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Epistemic perfection for reliabilism is a truth-producing machine [Zagzebski]
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]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher]
16. Persons / C. Self-Awareness / 2. Knowing the Self
The self is known as much by its knowledge as by its action [Zagzebski]
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]
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 / 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 / A. Modes of Thought / 3. Emotions / d. Emotional feeling
The feeling accompanying curiosity is neither pleasant nor painful [Zagzebski]
20. Action / C. Motives for Action / 1. Acting on Desires
Motives involve desires, but also how the desires connect to our aims [Zagzebski]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
One man's meat is another man's poison [Lucretius]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Modern moral theory concerns settling conflicts, rather than human fulfilment [Zagzebski]
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 / 1. Goodness / i. Moral luck
Moral luck means our praise and blame may exceed our control or awareness [Zagzebski]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Nowadays we doubt the Greek view that the flourishing of individuals and communities are linked [Zagzebski]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Nature only wants two things: freedom from pain, and pleasure [Lucretius]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Virtue theory is hopeless if there is no core of agreed universal virtues [Zagzebski]
A virtue must always have a corresponding vice [Zagzebski]
Eight marks distingush skills from virtues [Zagzebski, by PG]
Virtues are deep acquired excellences of persons, which successfully attain desire ends [Zagzebski]
Every moral virtue requires a degree of intelligence [Zagzebski]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Virtue theory can have lots of rules, as long as they are grounded in virtues and in facts [Zagzebski]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
We need phronesis to coordinate our virtues [Zagzebski]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
For the virtue of honesty you must be careful with the truth, and not just speak truly [Zagzebski]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
The courage of an evil person is still a quality worth having [Zagzebski]
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
If there were no space there could be no movement, or even creation [Lucretius]
Atoms move themselves [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
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]
Spirit is mortal [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]