formal reasoning

noun phrase
UK /ˈfɔː.məl ˈriː.zən.ɪŋ/
US /ˈfɔːr.məl ˈriː.zən.ɪŋ/

Thinking step by step in a careful, clear way to find the right answer.

In math class, we use formal reasoning to prove that a rule is always true.


OTHER MEANINGS

2. A way of solving problems using strict rules and clear steps.

The computer uses formal reasoning to check whether the program is correct.

3. Thinking that follows set patterns rather than feelings or guesses.

Scientists rely on formal reasoning when they test a new idea.

4. The study of valid arguments in logic and philosophy.

The course on formal reasoning teaches students how to build sound arguments.