The Art of Logic
I will keep coming back to is that you can be alogical without being illogical, and indeed being alogical is unavoidable and sometimes beneficial or even crucial, whereas being illogical is undesirable.
Eugenia Cheng • The Art of Logic
The idea of logic is to have clear rules so that conclusions can be drawn unambiguously and consistently by different people.
Eugenia Cheng • The Art of Logic
Looking for axioms, or starting points, in my own system of beliefs has led me to a much clearer understanding of my own thinking.
Eugenia Cheng • The Art of Logic
Starting points in own system of thinking is the keyword . You have to relate to everything from your own beliefs
A powerful aspect of abstraction is that many different situations become the same when you forget some details.
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
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
logical explanations need to be independent of personal experiences.
Eugenia Cheng • The Art of Logic
If they are attempting to be logical, the first person will try to justify what they’re saying by constructing a logical argument to back it up. The second person should then either try to find a flaw in their logical argument, or try to construct their own logical argument to back up their assertion that the person is wrong.
Eugenia Cheng • The Art of Logic
The primary aim of normal language is communication, whereas the primary aim of logical language is to eliminate ambiguity.