Do philosophers generally reject that philosophical reasoning relies on axioms? The way I've always thought that philosophy worked is that philosophers have a certain set of tools (deduction, laws of thought, [basic sources of knowledge](https://plato.stanford.edu/entries/epistemology/#SourKnowJust)) which they use to come to reasoned answers to questions. Most importantly, these tools are taken as axiomatic. That is, they are seen as starting points from which all reasoning must proceed. To question these axioms wouldn't be possible.
However, I've recently seen an attitude that has puzzled me. Many philosophers state that very rarely does reasoning in philosophy rely on axioms. Axioms are things to be avoided and go against the spirit of philosophy.
What am I misunderstanding here? If philosophers don't take their tools of reasoning as axiomatic, how do they go about doing philosophy? More importantly, if philosophical reasoning is so pervasive that it questions its own tools, from what framework does...