the Brouwer-Heyting-Kolmogorov interpretation

The Brouwer-Heyting-Kolmogorov (BHK) interpretation explains what it means for a mathematical statement to be true: a statement is true if there is a clear way (a proof) to establish it. For example, to say "there is a prime number greater than 10" is true if we can actually find such a number (like 11). In logical terms, a proof is like a construction or method that verifies the statement. This interpretation emphasizes that truth depends on our ability to construct or demonstrate the statement, not just on whether it aligns with some abstract idea.