Whether there exist so-called 'absolutely undecidable' statements

Whether there exist so-called 'absolutely undecidable' statements, whose truth value can never be known or is ill-specified, is a controversial point in the philosophy of mathematics.

so-called 'absolutely undecidable' statements, whose truth value can never be known or is ill-specified,

Whether there exist so-called 'absolutely undecidable' statements, whose truth value can never be known or is ill-specified, is a controversial point in the philosophy of mathematics.

whether there is an external mathematical reality

The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind.

The basis of mathematical truth

The basis of mathematical truth has been the subject of long debate.

Whether there exist so-called "absolutely undecidable" statements

Whether there exist so-called "absolutely undecidable" statements, whose truth value can never be known or is ill-specified, is a controversial point in the philosophy of mathematics.

the foundations

Some disagreement about the foundations of mathematics continues to the present day.

axiomatics

The role of axiomatics in mathematics is a highly contentious one.

a single, maximal, universe of set theory

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory.

the question of whether mathematics was discovered by humans or invented by Communications

One of the most fundamental conundrums in the philosophy of mathematics is the question of whether mathematics was discovered by humans or invented by Communications .

around whether mathematical entities are objective and discovered, called mathematical realism, or invented, called mathematical antirealism

A major issue in the philosophy of mathematics revolves around whether mathematical entities are objective and discovered, called mathematical realism, or invented, called mathematical antirealism.

pure mathematics, are scientific or non-scientific

Philosophers disagree about whether areas of study involving abstract concepts, such as pure mathematics, are scientific or non-scientific.

a merely human construct, or a reality “out there”.

Philosophers argue about whether mathematics is a merely human construct, or a reality “out there”.

What one

What one should do with such statements is a big controversy in the philosophy of mathematics.

The severity of such conflicts

The severity of such conflicts is strongly debated among philosophers and historians of mathematics.

the relative valuation of algorithmics/computation on the one hand and various notions of conceptual or higher level thinking on the other hand

One item of controversy in many discussions of mathematics education is the relative valuation of algorithmics/computation on the one hand and various notions of conceptual or higher level thinking on the other hand.

the pursuit of perfection

Sometimes, the pursuit of perfection led to spirited, mathematical debate.

philosophy's own, distinct subject matter

Whether philosophy also has philosophy's own, distinct subject matter is a contentious point.

Orchestrated objective reduction

Orchestrated objective reduction has been criticized from the neurons's inception by mathematicians, philosophers,[9][10][11][12][13] and scientists.[14][15][16]

the question of whether mathematics was discovered by humans or invented by them

One of the most fundamental conundrums in the philosophy of mathematics is the question of whether mathematics was discovered by humans or invented by them.

to a great debate over whether math is invented or discovered

This leads to a great debate over whether math is invented or discovered.