Kaasaegne teaduslik mõtlemine ja filosoofilised meetodid
Such arguments are called
Syllogisms.
Question: How many forms of syllogisms are there?
A syllogism has the following form:
---- T ---- T
---- T ---- T
Therefore, ---- T ---- T
The number of forms is determined by:
- The types of the propositions in the syllogism (64 Modes)
- The position of the middle term (4 Figures).
Hence, there are 256 possible forms of syllogisms. Not all of them are valid.
The business of syllogistic was to distinguish valid from invalid forms of syllogisms.
Question: How many valid forms of syllogisms are there?
The ‘matematization’ of Logic
Syllogisms have been the main form of argument studied in logic for 2000 years (from Aristotle to the
19th Century).
It was believed that all arguments, even every complex ones, could ultimately be reduced to a
series/combination of syllogisms.
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