In Greek you can use the same root for different purposes. I.e. it is not the word sophia or sophos that came to denote deception or fallacy. Sophist is someone

In Greek you can use the same root for different purposes. I.e. it is not the word sophia or sophos that came to denote deception or fallacy. Sophist is someone who deceives using the pretense of philosophy. I do not see knowledge as something that comes with an application manual. I.e. there is no manual defining how will use number theory, but still it has applications, sometimes completely unexpected. I would argue that philosophy navigates the fields where the testability of equations and "hard" science fails. That is also why some scientists do philosophy when/where the rules break down.