>>12635879They're a bit of both. The overall methodology and focus on proof is more scientific in nature, but mathematics really requires a certain degree of insanity to understand in a way closer to artists.
>>12636012Prior to the modern era, yes. Science was considered nothing more than "natural philosophy" for the vast majority of civilized history. However, the emphasis on the scientific method and empiricism separate modern science from philosophy.
>>12636063>there are no objectively true philosophiesThis depends on your school of thought. Some philosophers certainly believe in objective truth, but it's much harder to properly determine what is the objective truth.