What is the reason for difference between integer division and float to int conversion in python?

I have recently notice that int() rounds a float towards 0, while integer division rounds a float towards its floor.

for instance:

-7 // 2 = -4
int(-7/2) = -3

I have read the documentation which specifies:

class int(x, base=10)

Return an integer object constructed from a number or string x, or return 0 if no arguments are >given. If x is a number, return x.int(). For floating point numbers, this truncates towards zero.

and:

floor division

Mathematical division that rounds down to nearest integer. The floor division operator is //. For example, the expression 11 // 4 evaluates to 2 in contrast to the 2.75 returned by float true division. Note that (-11) // 4 is -3 because that is -2.75 rounded downward. See PEP 238.

But it seems illogical for me that 2 similar operations (float division to integer) should return different results.

Is there any motivation for the differences between the functions?

Thank you.

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