A fundamental relation connecting matter with space and time is the occupies relation, standing between a material body, a region of space and an interval of time. Its features and related concepts are discussed in this chapter. Individuals are the material bodies considered first, and it is argued that it is unnecessary to consider the regions they occupy to be bounded by boundary entities. An account of the abutment of individuals is presented on the basis of the theory of spatial regions described in Chap. 1 without needing to introduce boundaries as distinct entities. This is a time-dependent relation which treats times as intervals and accommodates the fact that the bodies in question might move whilst abutting, calling on an account of the occupies relation that accommodates movement. What I call an accumulation condition, formulated in mereological terms, is introduced for this purpose. Analogues of this mereological condition for other predicates are discussed in the sequel. Although a head is said to abut a torso (Smith and Varzi’s example) or the atmosphere abuts the sea (Leonardo), this doesn’t mean that the matter constituting these bodies abuts during the time at issue. Blood circulates between a body’s head and its torso, and matter (water, CO \(_2\) , etc.) is exchanged between the sea and the atmosphere. This highlights the distinction between individuals (the sea, the atmosphere) and the corresponding quantities of matter of which they are constituted (seawater, air), and shows that individuals don’t in general occupy the same regions as the quantities of matter that constitute them.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Occupying Space

  • Paul Needham

摘要

A fundamental relation connecting matter with space and time is the occupies relation, standing between a material body, a region of space and an interval of time. Its features and related concepts are discussed in this chapter. Individuals are the material bodies considered first, and it is argued that it is unnecessary to consider the regions they occupy to be bounded by boundary entities. An account of the abutment of individuals is presented on the basis of the theory of spatial regions described in Chap. 1 without needing to introduce boundaries as distinct entities. This is a time-dependent relation which treats times as intervals and accommodates the fact that the bodies in question might move whilst abutting, calling on an account of the occupies relation that accommodates movement. What I call an accumulation condition, formulated in mereological terms, is introduced for this purpose. Analogues of this mereological condition for other predicates are discussed in the sequel. Although a head is said to abut a torso (Smith and Varzi’s example) or the atmosphere abuts the sea (Leonardo), this doesn’t mean that the matter constituting these bodies abuts during the time at issue. Blood circulates between a body’s head and its torso, and matter (water, CO \(_2\) , etc.) is exchanged between the sea and the atmosphere. This highlights the distinction between individuals (the sea, the atmosphere) and the corresponding quantities of matter of which they are constituted (seawater, air), and shows that individuals don’t in general occupy the same regions as the quantities of matter that constitute them.