[c++] Setting an int to Infinity in C++

int is inherently finite; there's no value that satisfies your requirements.

If you're willing to change the type of b, though, you can do this with operator overrides:

class infinitytype {};

template<typename T>
bool operator>(const T &, const infinitytype &) {
  return false;
}

template<typename T>
bool operator<(const T &, const infinitytype &) {
  return true;
}

bool operator<(const infinitytype &, const infinitytype &) {
  return false;
}


bool operator>(const infinitytype &, const infinitytype &) {
  return false;
}

// add operator==, operator!=, operator>=, operator<=...

int main() {
  std::cout << ( INT_MAX < infinitytype() ); // true
}