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Reasoning is the act of using reason to derive a conclusion from
certain premises. There are two main methods to reach a conclusion.
One is deductive reasoning, in which given true premises, the conclusion
must follow (the conclusion cannot be false). This sort of reasoning
is non-ampliative - it does not increase one's knowledge base, since
the conclusion is self-contained in the premises. A classical example
of deductive reasoning are syllogism.
- All humans are mortal
- Socrates is a man
- Therefore, Socrates is mortal
In inductive reasoning, on the other hand, when the premises are
true, then the conclusion follows with some degree of probability.
This method of reasoning is ampliative, as it gives more information
than what was contained in the premises. A classical example comes
from David Hume.
- The sun rose to the east every morning
- Therefore, the sun will rise to the east tomorrow.
A third method of reasoning is called abductive reasoning, or
inference to the best explanation. This method is more complex in
its structure and can involve both inductive and deductive arguments.
The main characteristic of abduction is that it is an attempt to
favor one conclusion above others by either attempting to falsify
alternative explanations, or showing the likelihood of the favored
conclusion given a set of more or less disputable assumptions.
These methods of reasoning are of interest to such disciplines
as philosophy, logic, psychology, and artificial intelligence.
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