Is Logic Static or Dynamic?
Many people think that our Western logic is perfect. It has endeavoured to prove things over many centuries, from the syllogisms of Aristotle to the proofs of God of medieval scholasticism to the first-order logic of mathematics in more recent times. Despite their mature level of development, these systems are not sufficient to map the dynamic processes of thinking.
This starts with the simple IF-THEN, which is always static in syllogisms and First-Order Logic. However, a dynamic logic is indispensable in order to precisely describe thought processes.
- Is the IF-Then static or dynamic?
- Logodynamics
Classical logic is monotonic. To map thought processes, however, a non-monotonic, i.e. dynamic logic is required:
- NMR (Non-Monotonic-Reasoning)
Self-Referentiality Breaks with Classical Logic
One problem of conventional logic lies in the loop of self-referentiality (Barber paradox, Gödel, Spencer-Brown).
For this purpose, I wrote two texts in 2015:
- Selbstreferentialität 1 (in German)
- Selbstreferentialität 2 (in German)
Self-referentiality breaks the flow of time and can lead to the classic paradoxes: