formal reasoning
Systematic deductive thinking
Formal reasoning is thinking that follows explicit rules of logic or mathematics, where conclusions derive necessarily from premises.
It contrasts with informal reasoning, which relies on intuition, experience, or probability.
In formal reasoning, validity depends on structure rather than content: if the premises are true and the form is correct, the conclusion must be true.
The proof required formal reasoning, not educated guesses.
- abstract thinkingCognition beyond physical reality
- truth tablesCharts mapping logical outcomes
- deductionConclusion from premises
- deductive logicReasoning from premises to necessary conclusions
- sound argumentLogically valid reasoning
reductio ad absurdum · problem-solving skills · Venn diagrams · syllogism · abduction · fuzzy logic · mental models · computer programming · proof by contradiction · artificial intelligence · set theory · decision theory · Boolean algebra · axioms · soundness · logical consequence · validity · critical thinking
formal reasoningintuition
Instinctive immediate understanding
gut feeling · instinct · guesswork · snap judgment · fuzzy thinking
formal reasoningmotivated reasoning
Biased cognition favoring preferences
wishful thinking · magical thinking · circular reasoning · emotional reasoning · superstition
formal reasoninggut instinct
Immediate unreasoned knowing
intuitive knowledge · tacit knowledge · felt sense · common sense · practical wisdom
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