The Art of Logic
logical explanations need to be independent of personal experiences.
Eugenia Cheng • The Art of Logic
Time and causation flow in one direction only, and so does logic, and we must be careful not to make errors in direction.
Eugenia Cheng • The Art of Logic
Mathematics is the logical study of how logical things work.
Eugenia Cheng • The Art of Logic
The two are linked, but in mathematics they are particularly cyclically linked.
Eugenia Cheng • The Art of Logic
soundly but starting from different basic beliefs. So two people can both be logical but still disagree about things.
Eugenia Cheng • The Art of Logic
A implies B. B is implied by A. • If A then B. B if A.
Eugenia Cheng • The Art of Logic
Like time, logic has a direction and we must not try to violate it.
Eugenia Cheng • The Art of Logic
It is important to note that this is logically different from concluding that the hypothesis is false, which would be the opposite rather than the negation. If you have insufficient evidence to support a hypothesis, it means that the truth value is still unknown. Maybe you need more data. Maybe you need a better experiment.
Eugenia Cheng • The Art of Logic
In that situation the key would be to change someone’s mind about that core principle rather than anything else.