Combining Texts

All the ideas for 'Mapping the Mind', 'Elements of Geometry' and '09: Galatians'

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32 ideas

2. Reason / E. Argument / 6. Conclusive Proof
Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
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]
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 / E. Categories / 2. Categorisation
Brain lesions can erase whole categories of perception, suggesting they are hard-wired [Carter,R]
12. Knowledge Sources / B. Perception / 5. Interpretation
Sense organs don't discriminate; they reduce various inputs to the same electrical pulses [Carter,R]
The recognition sequence is: classify, name, locate, associate, feel [Carter,R, by PG]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
There seems to be no dividing line between a memory and a thought [Carter,R]
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
No one knows if animals are conscious [Carter,R]
15. Nature of Minds / A. Nature of Mind / 8. Brain
Pain doesn't have one brain location, but is linked to attention and emotion [Carter,R]
Proper brains appear at seven weeks, and neonates have as many neurons as adults do [Carter,R]
In primates, brain size correlates closely with size of social group [Carter,R]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Consciousness involves awareness, perception, self-awareness, attention and reflection [Carter,R]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
There is enormous evidence that consciousness arises in the frontal lobes of the brain [Carter,R]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Normal babies seem to have overlapping sense experiences [Carter,R]
15. Nature of Minds / B. Features of Minds / 7. Blindsight
In blindsight V1 (normal vision) is inactive, but V5 (movement) lights up [Carter,R]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Out-of-body experiences may be due to temporary loss of proprioception [Carter,R]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Scans of brains doing similar tasks produce very similar patterns of activation [Carter,R]
Thinking takes place on the upper side of the prefrontal cortex [Carter,R]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Babies show highly emotional brain events, but may well be unaware of them [Carter,R]
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
The only way we can control our emotions is by manipulating the outside world that influences them [Carter,R]
18. Thought / A. Modes of Thought / 5. Rationality / c. Animal rationality
A frog will starve to death surrounded by dead flies [Carter,R]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
The 'locus coeruleus' is one of several candidates for the brain's 'pleasure centre' [Carter,R]
25. Social Practice / B. Equalities / 1. Grounds of equality
Jew and Greeks, bond and free, male and female, are all one in Christ [Paul]