Intuitionism (Constructivism) vs. Logicism vs. Platonism.


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Does infinity exist?

Is the whole larger than the parts?

Are all the numbers either negative, positive or zero?

Phenomenally simple questions. With no definite answer!

Is everything “out there” for us to discover? (Platonism)

Is everything we can “write on paper” true? (Logicism)

Or only the things we can construct do exist? (Intuitionism/ Constructivism)

For every truth, there has been a debate. For every given axiom, there has been a completely different and opposite one. For every solution, there has been a controversy lost in the depths of time.

Be careful of what we “know”.

It usually hides something else that we do not.

Search for the obvious.

It is not.