What is the argument from the relativity of perception? How does Philonous use the ARP to support the view that sensible qualities exist only in the mind? In a first attempt to allow some qualities to remain outside the mind, Hylas claims that while the ARP shows secondary qualities to exist only in the mind, primary qualities remain outside the mind. What does Hylas say is the difference between these two kinds of qualities? What is Philonous’s response to this claim? In his next attempt to keep something existing outside of the mind, Hylas appeals to a distinction between sensible and absolute extension, claiming that the ARP shows that while sensible extension exists only in the mind, absolute extension exists outside the mind. What does Hylas say is the difference between these two kinds of extension? Explain how Philonous makes use of the claim that everything which exists is particular to respond to Hylas. What concern about mathematical thinking does this reply lead Hylas to express? What response does Philonous make to Hylas concerning the way in which mathematicians proceed?

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The argument from the relativity of perception is a fascinating concept that delves into the nature of reality and our perception of it. Philonous, in his use of the ARP, supports the view that sensible qualities exist only in the mind by highlighting the subjective nature of our perception. He argues that what we perceive as qualities such as color, taste, and sound are not inherent properties of external objects, but rather constructs of our minds. This view challenges the assumption that there is an objective reality independent of our perception.

Hylas, in his attempt to reconcile this view with the belief in the existence of primary qualities outside the mind, distinguishes between secondary and primary qualities. He claims that while secondary qualities exist only in the mind, primary qualities such as shape, size, and motion exist independently of our perception. Hylas believes that there is a fundamental difference between these two kinds of qualities, with primary qualities being more objective and real.

Philonous, in response to Hylas' claim, challenges the distinction between primary and secondary qualities by pointing out that both are ultimately based on our perception. He argues that our perception of primary qualities is just as subjective as our perception of secondary qualities, as they are all dependent on the mind. Philonous maintains that there is no clear boundary between what exists in the mind and what exists outside of it, as everything we experience is ultimately filtered through our subjective consciousness.

In his next attempt to establish something existing outside of the mind, Hylas turns to the distinction between sensible and absolute extension. He argues that while sensible extension exists only in the mind, absolute extension exists independently of our perception. Hylas claims that there is a difference between these two kinds of extension, with sensible extension being a mere representation of the real, absolute extension.

Philonous, however, refutes Hylas' distinction by again emphasizing the relativity of perception. He argues that even the concept of absolute extension is ultimately a construct of the mind, as it is based on our subjective experience. Philonous points out that everything we perceive, whether it be extension or qualities, is particular and subjective to our individual consciousness.

This view leads Hylas to express concern about the reliability of mathematical thinking, as mathematics relies on abstract concepts that seem to exist beyond our perception. Hylas worries that if everything is subjective, then how can we trust the conclusions of mathematicians who depend on these abstract entities?

Philonous responds to Hylas by arguing that mathematical thinking is not exempt from the subjective nature of perception. He contends that mathematicians, like everyone else, operate within the confines of their own minds and subjective experiences. Philonous maintains that even mathematical concepts are ultimately based on our perception and are not independent of our consciousness. In this way, he challenges the belief in an objective reality existing beyond our subjective experience, bringing into question the very nature of existence and knowledge.