Spinoza: Lecture One

 

1. Born 1632.  Amsterdam.  Son of Jewish Marrano immigrants from Portugal.  These were Jews who had converted to Christianity under pressure from Spain and/or Portugal, but who upon emigrating to the Netherlands converted back to Judaism.  Spinoza’s father was a merchant.  Spinoza was named Baruch, which means blessed, i.e., Benedict.  He had a Jewish upbringing, going to the local Jewish school until he was around 14 years old.  Apparently, Spinoza did not do the advanced studies that would lead to the rabbinate, but instead went into his father’s business, and then when his father died in 1654, he was in business with his brother.

2. Spinoza’s approach is geometrical, that is modeled on the reasoning in geometry.  Euclid defined various terms, provided axioms, and everything else was to be proved from the axioms and definitions.

3. The central notion here is that of a substance.  A substance is something which is in itself and conceived through itself.  Thus, to conceive of or understand a substance, we do not need to conceive of anything other than that substance.  (Spinoza is going to identify conceiving of something with understanding it.)  To conceive of strength, you have to conceive of someone who is strong.  But this someone is different from her strength, and hence to conceive of strength, you must conceive of something else.  Or consider the notion of a queen.  To conceive of a queen requires that we conceive of a body of people whom the queen rules.  We cannot know what a queen is like in isolation, since the concept makes no sense.  Thus, a queen as such is not a substance.  Traditionally, monarchies distinguish the person of the queen from her office.  The person might be conceivable, we might think (though Spinoza will deny), in isolation from everything else.  I can arguably understand Elizabeth Windsor without understanding anything outside her (though Spinoza will disagree).  But I cannot understand Queen Elizabeth II in this way: to understand who Queen Elizabeth II is, I must understand the legal institutions that installed her as queen, and I must understand who her subjects are.

4. This said, let’s jump into Spinoza’s arguments.  What I am going to give is my version of the arguments for some of the propositions you read.

Proposition 2.  Two substances having different attributes have nothing in common.

•   Suppose that we had two substances with different attributes, Bob and Jane, say.  Suppose they have something in common, call it X.  To conceive of Bob, I must conceive of this X.  But this X is also in Jane.  Thus, in conceiving of Bob, I am conceiving of something in Jane.  Now, to understand this X, I must understand what it is in, namely Jane.  That is what it means for Spinoza to say one thing is another: X is in Jane if to understand X, I must understand Jane.  Now, I understand Jane by understanding her attribute.  But her attribute is different from any of Bob’s.  Thus, to understand Bob, I must understand X, and to understand X, I must understand an attribute of Jane, and this attribute is not an attribute of Bob.  Thus, I cannot fully understand Bob without understanding something outside him--an attribute of Jane.  But this contradicts the definition of substance.

Proposition 3.  If A causes B, then A and B have something in common.

•   If they have nothing in common then by Axiom 5, I cannot understand one through the other.  But I can undersand the effect through the cause (Axiom 4).

Proposition 4. Two things are distinguished either by the attributes of substances or by the affections of substances.

•   The only things that existence are substances and their affections.  And substances are defined by their attributes.  So that’s all that’s available to distinguish things by.

Proposition 5. Two substances can’t share an attribute.

•   If two substances share an attribute, then they must be distinguished by their affections (Prop. 4).  But the substance can be understood apart from its affections--otherwise it wouldn’t be substance.

•   Query: Why can’t they share one attribute but be distinguished by another?  For then the one attribute they share would not completely express the nature of the substance.

Proposition 6. A substance can’t produce a substance.

•   If a substance produced another, it would have something in common with it.  (Proposition 3.)  By Proposition 2, what they would have in common is an attribute.  But by Proposition 5, two substances can’t share an attribute.

Proposition 7. It is part of the very nature of substance to exist.

•   Substance has no cause outside of itself.  Thus, by the PSR (Axiom 2--this isn’t Spinoza’s exact argument), substance must be self-explanatory.

Proposition 11. God, a substance having infinite attributes each of which expresses eternal and infinite essence, exists.

•   God’s nature, like that of every substance, involves existence.  Hence, God exists.  (Standard ontological argument.  Note how S. doesn’t here feel the need to prove the possibility of God like L. does.  S. assumes we have a fine adequate concept of God.)

•   There is an explanation for every fact.  (Not one of Spinoza’s axioms.  Axiom 2 only says this for things, not facts.)  So if God doesn’t exist, there is an explanation of this non-existence.  The explanation is either external to God or internal.  But a substance other than God would have nothing in common with God and hence couldn’t annul him--for then he (or more precisely his non-existence) would be involved in the other substance.  Nor can there be anything in God that would prevent him from existing.  For then God’s nature would be self-contradictory--only a self-contradictory being can be proved from its own nature not to exist.  This is a version of an argument of Duns Scotus.  Duns Scotus argued that the argument works even with a weaker version of the PSR, the claim that every fact can have an explanation, even if it doesn’t have it.  But the non-existence of God cannot have an explanation, Blessed Duns argues.

•   If God didn’t exist, then finite things would be more powerful than God.  But this is absurd.