[Ecoste]

We have a ton of examples of great mathematicians who also happened to be great philosophers and vice-versa. Some philosophers also tried to incorporate mathematical symbols and such into their work. We value both their philosophical works and mathematical works. They were smart people and chose different mediums to express different concepts.

How can you try to explore the ego, consciousness, unconsciousness, dreams, suffering, life's purpose, subjective beauty, symbolism, truth, religion, god, ethics and whatever else that is not easily formalized? We might very well arrive at a formal and unambiguous description of these sometime in the far future, so are we not supposed to at least try to talk about these concepts now? You use different tools for different concepts, and science and philosophy is just 2 of those tools. At the end of the day philosophy undeniably changed the world, so there is at least some value to it. Philosophy is not anti-logic, it is very much for logic.