There is some relevant difference between the practical and the philosophical, where for some particular purpose the lack of “objective” being possible doesn’t matter because you’re not asking for resolution past the point where it’s relevant. As long as you are comfortable with the assumptions you’ve made and don’t wish to question them, this won’t be a concern, and you can make great practical progress despite the lack of firm grounding (as evidenced by the existence of the modern world).
There is some relevant difference between the practical and the philosophical, where for some particular purpose the lack of “objective” being possible doesn’t matter because you’re not asking for resolution past the point where it’s relevant. As long as you are comfortable with the assumptions you’ve made and don’t wish to question them, this won’t be a concern, and you can make great practical progress despite the lack of firm grounding (as evidenced by the existence of the modern world).