In Spinoza's Ethics, the definitions of Part 1. include a supposedly all important term: Attribute, defined by Spinoza in the following:

"IV. By attribute, I mean that which the intellect perceives as constituting the essence of substance."

Reading propositions I through XVI has left me with a good, or at least passable understanding of the concepts of Substance and Modification, but repeatedly propositions such as the following have left me intellectually in the dust.

"PROP. II. Two substances, whose attributes are different, have nothing in common.

PROP. V. There cannot exist in the universe two or more substances having the same nature or attribute.

PROP. IX. The more reality or being a thing has, the greater the number of its attributes (Def. iv.).

My previous conception of attributes was that they were like Platonic Forms, or at least that there was one attribute for every one substance, but it is becoming increasingly clear that this is not at all a workable idea. So, in light of the definition given, could anyone please provide me with a few examples to illustrate what is meant my attribute?

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    It's been a while since I read Spinoza, but I seem to vaguely remember that attributes are things like physical properties: density, mass, etc. I'm not confident that's exactly right, but thinking in those terms might be more helpful. – commando Aug 9 '16 at 21:26
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    @commando: they're all examples of one attribute, the attribute of extension. – Mozibur Ullah Aug 10 '16 at 20:26

Attributes, for Aristotle, scholastics, Descartes, and Spinoza alike, are the non-accidental qualities/properties expressed in language by predicates, as substances are expressed in it by subjects, to which they are predicated. Taken together, they make a substance what it is, hence they are essential (unlike accidental properties), constitute its essence. Substances that do not share attributes have nothing in common, and the more attributes they have the more "real" (concrete) they are. God, as the ultimate reality, is the "substance of infinite attributes", but according to Spinoza "the human mind has an adequate knowledge of the eternal and infinite essence of God". Here are some examples from Part II of Ethics:

PROP. I. Thought is an attribute of God, or God is a thinking thing.

PROP. II. Extension is an attribute of God, or God is an extended thing.

A somewhat more idiosyncratic use of "attribute" by Spinoza corresponds to what we would call "aspect" or "perspective", in which a substance is unfolded or under which it is considered. In particular, God and Nature are the same substance considered under different attributes (which is perhaps why we have an adequate knowledge of it). Here are some examples, again from Part II:

PROP. V. The actual being of ideas owns God as its cause, only in so far as he is considered as a thinking thing, not in so far as he is unfolded in any other attribute...

Note to PROP. VII. For instance, a circle existing in nature, and the idea of a circle existing, which is also in God, are one and the same thing displayed through different attributes. Thus, whether we conceive nature under the attribute of extension, or under the attribute of thought, or under any other attribute, we shall find the same order, or one and the same chain of causes - that is, the same things following in either case. Thus, whether we conceive nature under the attribute of extension, or under the attribute of thought, or under any other attribute, we shall find the same order, or one and the same chain of causes - that is, the same things following in either case.

Several aspects of interpreting Spinoza's theory of attributes are controversial. For instance, he ultimately concludes, in contradistinction to all his predecessors, that there is but one substance, God=nature, and despite mentioning its infinite attributes names only two of them in Ethics, thought and extension. In the early Short Treatise those are the only two through which God can be known, and omnipotence, eternity, immutability, and infinity are termed "propria", because "they are only Adjectives, which cannot be understood without their Substantives. That is to say, without them God would indeed be no God, but still it is not they that constitute God ; for they reveal nothing of the character of a Substance, through which alone God exists". In Ethics the "propria" disappear altogether, but eternity appears in the oft-mentioned sub specie aeternitatis, "under the species of eternity", in a sense similar to "under the attribute":

Corollary II to PROP. XLIV. It is in the nature of reason to perceive things under a certain form of eternity (sub quâdam æternitatis specie).

SEP has a nice article on Spinoza's Theory of Attributes.

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    This is an excellent answer, but I disagree with your explanation of "sub specie æternitatis" for two reasons: 1) Spinoza's language is quite precise. Had he meant "under the attribute of eternity" he likely would've written "sub attributum æternitatis". "Sub specie æternitatis" really does mean "under the aspect of infinity." 2) Eternity, infinity, etc. are properties of God for Spinoza, but not attributes. This is one point where his language slightly differs from that of the Scholastics. Cf. 1d6 where every attribute expresses "the eternal and infinite essence." – ig0774 Aug 10 '16 at 10:49
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    Thanks a ton for all the information! So in the example you gave extension means physical extension in terms or weight, size etc? If not, what is meant by it? – WillDurrant420 Aug 12 '16 at 14:25
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    @WillDurrant420: "extension" is physical extension but just in the sense of size (length, width, depth). When Spinoza speaks of extension, he does so (broadly speaking) in the same sense Descartes does. – ig0774 Aug 12 '16 at 22:08
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    @ig0774 I agree that this is controversial, I rephrased it and added some context. – Conifold Aug 13 '16 at 19:37

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