Speakpigeon
Contributor
- Joined
- Feb 4, 2009
- Messages
- 6,317
- Location
- Paris, France, EU
- Basic Beliefs
- Rationality (i.e. facts + logic), Scepticism (not just about God but also everything beyond my subjective experience)
I would suggest distinguishing between the philosophy of logic, particular logics, and our sense of logic.
The philosophy of logic is the identification and specification of potential logics. This activity was carried out by the Ancient Greek philosophers, the philosophers of the Enlightenment in the 17th and 18th centuries, and by Frege at the end of the 19th century and Russell at the beginning of the 20th century and some more people, like Quine. Russell and Quine acted successively as philosopher and logician.
Particular logics include the classical (normal, conventional etc.) logic as used by mathematicians and scientists (if they do at all) as well as unorthodox or alternative logics such as the logic of possible worlds, three-valued logics etc. The latter are investigated both by philosophers and by some logicians. I don't believe they are really applicable. Scientists, mathematicians and ordinary mortals are essentially concerned with classical logic. However, they are not investigating it at all. They are using it, usually somewhat perfunctorily, if at all, like one would use a Kleenex or a Hoover. Logicians are investigating classical logic but only in the sense that they are trying to specify it completely. Novelties are only technical ones in this respect. If one investigates classical logic with a view to redefine it then this is a philosophical job.
The sense of logic is the ability that human beings, and other animals, have allowing them to demonstrate logical capabilities without prior formal training in logic. Toddlers have a sense of logic. Grey parrots as well as all species of the Corvidae family have a sense of logic. Apes do, also some monkeys. Dogs do. They all have been shown to perform logical operations. Personally, I think that many species beyond those listed here have a sense of logic. What the species mentioned here share is an ability to communicate with us through proto-linguistic capabilities.
Conventional logic broadly covers our sense of logic. However, it's not entirely accurate even though it seems good enough for practical purpose (maths, science, everyday life). Only philosophers and a few logicians seem to want to nit-pick. In that respect, only these people are still investigating logic. Most logicians seem to think that the fundamentals of classical logic (or formal logic) are correct. They are investigating developments of these fundamentals; they're not reconsidering them.
EB
The philosophy of logic is the identification and specification of potential logics. This activity was carried out by the Ancient Greek philosophers, the philosophers of the Enlightenment in the 17th and 18th centuries, and by Frege at the end of the 19th century and Russell at the beginning of the 20th century and some more people, like Quine. Russell and Quine acted successively as philosopher and logician.
Particular logics include the classical (normal, conventional etc.) logic as used by mathematicians and scientists (if they do at all) as well as unorthodox or alternative logics such as the logic of possible worlds, three-valued logics etc. The latter are investigated both by philosophers and by some logicians. I don't believe they are really applicable. Scientists, mathematicians and ordinary mortals are essentially concerned with classical logic. However, they are not investigating it at all. They are using it, usually somewhat perfunctorily, if at all, like one would use a Kleenex or a Hoover. Logicians are investigating classical logic but only in the sense that they are trying to specify it completely. Novelties are only technical ones in this respect. If one investigates classical logic with a view to redefine it then this is a philosophical job.
The sense of logic is the ability that human beings, and other animals, have allowing them to demonstrate logical capabilities without prior formal training in logic. Toddlers have a sense of logic. Grey parrots as well as all species of the Corvidae family have a sense of logic. Apes do, also some monkeys. Dogs do. They all have been shown to perform logical operations. Personally, I think that many species beyond those listed here have a sense of logic. What the species mentioned here share is an ability to communicate with us through proto-linguistic capabilities.
Conventional logic broadly covers our sense of logic. However, it's not entirely accurate even though it seems good enough for practical purpose (maths, science, everyday life). Only philosophers and a few logicians seem to want to nit-pick. In that respect, only these people are still investigating logic. Most logicians seem to think that the fundamentals of classical logic (or formal logic) are correct. They are investigating developments of these fundamentals; they're not reconsidering them.
EB