1
vote
3answers
101 views

how can we write abstract algorithms?

Writing pseudo-code for algorithms is common practice in the applied mathematics literature. It is also often the case that the ideal input of an algorithm is an infinite set, for example it could be ...
2
votes
2answers
248 views

Are axioms and rules of inference interchangeable?

There is an equivalence between cellular automata and formal systems, you can code one into the other and vice versa. But in the the cellular automata (CA) the rules of inference are fixed and are ...
8
votes
4answers
430 views

Consequences of solving the Halting problem

What impact would a device (ie super-computer or relativistic computer or other method) that solves the halting problem have on math? Would there be any mathematical problems left to solve? What ...
3
votes
3answers
267 views

categorization of logic

(1). I was wondering about what are the relation and differences between formal and informal logic? What topics does each of them have? For example, topics such as Meaning and Definition, Syllogistic ...