I don't know about the second part of your argument, where you claim you don't need any linguistic reasoning to see that analogy needs logic (I'm personally not

I don't know about the second part of your argument, where you claim you don't need any linguistic reasoning to see that analogy needs logic (I'm personally not convinced). However, your argument about the connection-in the context you are putting it in-of the words logic and analogy is absolutely false. Αναλογία means the comparative association of two (antithetical) objects in quantity, size, etc. Λογική means to reason with a basis in reality.