Combining Philosophers

All the ideas for Hermarchus, Ned Block and Giuseppe Peano

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24 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Lobotomised patients can cease to care about a pain [Block]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
The Inverted Earth example shows that phenomenal properties are not representational [Block, by Rowlands]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
A brain looks no more likely than anything else to cause qualia [Block]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Behaviour requires knowledge as well as dispositions [Block]
17. Mind and Body / C. Functionalism / 1. Functionalism
In functionalism, desires are internal states with causal relations [Block]
Functionalism is behaviourism, but with mental states as intermediaries [Block]
You might invert colours, but you can't invert beliefs [Block]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
Could a creature without a brain be in the right functional state for pain? [Block]
Not just any old functional network will have mental states [Block]
In functionalism, what are the special inputs and outputs of conscious creatures? [Block]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Physicalism is prejudiced in favour of our neurology, when other systems might have minds [Block]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
Simple machine-functionalism says mind just is a Turing machine [Block]
A Turing machine, given a state and input, specifies an output and the next state [Block]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / c. Turing Test
A fast machine could pass all behavioural tests with a vast lookup table [Block, by Rey]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
The meaning of a representation is its role in thought, perception or decisions [Block]
19. Language / C. Assigning Meanings / 1. Syntax
Intuition may say that a complex sentence is ungrammatical, but linguistics can show that it is not [Block]
25. Social Practice / F. Life Issues / 6. Animal Rights
Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]