Combining Philosophers

All the ideas for Eubulides, Rita Carter and Michal Walicki

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41 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
17749 Post proved the consistency of propositional logic in 1921 [Walicki]
17765 Propositional language can only relate statements as the same or as different [Walicki]
4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables
17764 Boolean connectives are interpreted as functions on the set {1,0} [Walicki]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
17752 The empty set is useful for defining sets by properties, when the members are not yet known [Walicki]
17753 The empty set avoids having to take special precautions in case members vanish [Walicki]
4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets
17759 Ordinals play the central role in set theory, providing the model of well-ordering [Walicki]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
17741 To determine the patterns in logic, one must identify its 'building blocks' [Walicki]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
17747 A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17748 The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17763 Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki]
17761 A compact axiomatisation makes it possible to understand a field as a whole [Walicki]
5. Theory of Logic / L. Paradox / 1. Paradox
6007 If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
6006 If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
6008 Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
17757 Members of ordinals are ordinals, and also subsets of ordinals [Walicki]
17758 Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki]
17755 Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki]
17756 The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki]
17760 Two infinite ordinals can represent a single infinite cardinal [Walicki]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
17762 In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
17754 Inductive proof depends on the choice of the ordering [Walicki]
7. Existence / E. Categories / 2. Categorisation
4913 Brain lesions can erase whole categories of perception, suggesting they are hard-wired [Carter,R]
10. Modality / A. Necessity / 2. Nature of Necessity
17742 Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki]
12. Knowledge Sources / B. Perception / 5. Interpretation
4910 Sense organs don't discriminate; they reduce various inputs to the same electrical pulses [Carter,R]
4911 The recognition sequence is: classify, name, locate, associate, feel [Carter,R, by PG]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
4919 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
4908 No one knows if animals are conscious [Carter,R]
15. Nature of Minds / A. Nature of Mind / 8. Brain
4902 Pain doesn't have one brain location, but is linked to attention and emotion [Carter,R]
4915 In primates, brain size correlates closely with size of social group [Carter,R]
4904 Proper brains appear at seven weeks, and neonates have as many neurons as adults do [Carter,R]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
4917 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
4916 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
4905 Normal babies seem to have overlapping sense experiences [Carter,R]
15. Nature of Minds / B. Features of Minds / 7. Blindsight
4918 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
4912 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
4920 Thinking takes place on the upper side of the prefrontal cortex [Carter,R]
4903 Scans of brains doing similar tasks produce very similar patterns of activation [Carter,R]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
4906 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
4909 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
4914 A frog will starve to death surrounded by dead flies [Carter,R]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
4907 The 'locus coeruleus' is one of several candidates for the brain's 'pleasure centre' [Carter,R]