Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Ideas' and 'What are Sets and What are they For?'

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32 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Because of Darwin, wisdom as a definite attainable state has faded [Watson]
1. Philosophy / B. History of Ideas / 1. History of Ideas
The three key ideas are the soul, Europe, and the experiment [Watson]
The big idea: imitation, the soul, experiments, God, heliocentric universe, evolution? [Watson]
2. Reason / E. Argument / 3. Analogy
Babylonian thinking used analogy, rather than deduction or induction [Watson]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
The empty set is something, not nothing! [Oliver/Smiley]
We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Mesopotamian numbers applied to specific things, and then became abstract [Watson]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
Modern democracy is actually elective oligarchy [Watson]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Greek philosophers invented the concept of 'nature' as their special subject [Watson]
27. Natural Reality / G. Biology / 3. Evolution
DNA mutation suggests humans and chimpanzees diverged 6.6 million years ago [Watson]
28. God / C. Attitudes to God / 4. God Reflects Humanity
During the rise of civilizations, the main gods changed from female to male [Watson]
29. Religion / A. Polytheistic Religion / 3. Hinduism
Hinduism has no founder, or prophet, or creed, or ecclesiastical structure [Watson]
29. Religion / B. Monotheistic Religion / 2. Judaism
Modern Judaism became stabilised in 200 CE [Watson]
The Israelites may have asserted the uniqueness of Yahweh to justify land claims [Watson]
Monotheism was a uniquely Israelite creation within the Middle East [Watson]
29. Religion / B. Monotheistic Religion / 3. Zoroastrianism
The Gathas (hymns) of Zoroastrianism date from about 1000 BCE [Watson]
Zoroaster conceived the afterlife, judgement, heaven and hell, and the devil [Watson]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Jesus never intended to start a new religion [Watson]
Paul's early writings mention few striking episodes from Jesus' life [Watson]
29. Religion / C. Spiritual Disciplines / 1. Confucianism
Confucius revered the spiritual world, but not the supernatural, or a personal god, or the afterlife [Watson]
29. Religion / C. Spiritual Disciplines / 2. Taoism
Taoism aims at freedom from the world, the body, the mind, and nature [Watson]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
The three basic ingredients of religion are: the soul, seers or priests, and ritual [Watson]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
In ancient Athens the souls of the dead are received by the 'upper air' [Watson]