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# Chapter 1.1: The Sheet of Assertion | ||
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For the truth or falsity of statements to be evaluated, one must have some way of asserting the truth or falsity of its components. | ||
For the truth or falsity of statements to be evaluated, one must have some way of asserting the truth or falsity of its | ||
components. | ||
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As an example, consider the sentence "I have a cat, and this cat's name is Jerry." | ||
While stating that he is a cat may be true, | ||
and while stating that he is named Jerry may be true, the overall truth or falsity of both statements together | ||
cannot be discussed if we had no structure to convey the statements in. | ||
The structure here is the sentence. It is a recognizable form we insert information into, because | ||
having an audience understand what they read is important. | ||
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**Put bluntly, we need a place to put smaller stuff to make up bigger stuff**. | ||
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Put less bluntly, we need a place in which statements can be asserted as true and evaluated together with other | ||
statements. From there, we can then proceed to determine if any incorrectness in a larger statement exists. | ||
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Since the EG System was developed during a time when a computer was an occupation and not a machine, Peirce's chosen form | ||
was a blank piece of paper. This form can be expanded to include any writable surface that maintains the information written. | ||
This includes whiteboards, blackboards and computer screens. | ||
Statements written on this surface are asserted as true, and if two separate statements are made, | ||
they are considered to be in *conjunction* with each other. To discuss this Jerry character further, the above statements | ||
would look like this on *The Sheet of Assertion*, our writable surface. | ||
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 | ||
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As a result of the statements being considered *conjuncts*, as in they are in conjunction with each other, | ||
the *and* was removed. Otherwise, the sentence | ||
"I have a cat, and this cat's name is Jerry," and the above Sheet of Assertion are equivalent in meaning. | ||
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Alone, this is not too powerful[^1]. | ||
If, once, you were in a hurry and forgot a conjunction or two in writing something down, it could | ||
be said that you developed your own Sheet of Assertion. **Why does this matter?** | ||
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If we had some compact way of representing statements on the sheet, we would be able to store and evaluate the whole truth | ||
of some large collection of statements at once. Chapter 1.2 details this compact representation in discussing The Atom. | ||
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[^1] Of note now, but not worth detailing yet, is that other logics use the symbol ∧ to denote conjunctions. This is | ||
one example of several in the EG System where the set of symbols was cut down. This assists in an otherwise complex | ||
process of understanding what one is even looking at in other logics. |
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# Introduction | ||
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This is the open source textbook and end-user manual for theorem proving with Existential Graphs in PMH. | ||
This is the open source textbook and end-user manual for theorem proving with Existential Graphs in PMH. We will refer to | ||
the Existential Graph System as the EG System and Existential Graphs themselves as EGs from now on. | ||
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If you don't know any formal logic whatsoever, don't worry! This book will explain the basics and how they relate to EGs. |