Cognitive dissonance is the reason behind some suicides. The person feel absurd facing reality very different from belief, and the peace of mind collapses.
In propositional logic, the observation of P∧¬P not only blow up one's belief of P, it also blows up the sense of life, and in some cases, their instinct of survival.
- What does it mean for your life partner to both love you and don't love you?
- What does it mean for the country to be ruled by both god and antichrist?
- What does it mean for everyone to have basic human rights, but your rights cannot be realized in real life?
Paraconsistent logic trains the mind to be not afraid of P ∧ ¬P , allowing the mind to have a relative healthy state out of the local ulcer of absurdity.
Let's come back to mathematical education. Lower class and poor people are both more traumatized by and more experienced in tolerating conflicts in life without actually solving it.
I feel it's unfair for them, that our mathematics education is based on fully consistent logic.
In many aspect of life, full consistency is expensive both mentally and materially.
If we allow P∧¬P in our mathematic logic, maybe inner city students can do significantly better reflecting on their life skills and experiences.
Submitted March 27, 2022 at 05:19PM by innofuel https://ift.tt/lsLdzep
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