Jon Awbrey
January 12, 2025 at 5:34 PM
Figure 1. The Sign Relation in Aristotle
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January 10, 2025 at 7:30 PM
Figure 2. Dewey's “Sign of Rain” Example
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January 10, 2025 at 6:05 PM
Hawthorn Forest Pond • 4:25 pm • 18°F
January 8, 2025 at 11:12 PM
Taken all together we have the fourfold scheme of inference shown below.

Differential Inference Rules
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December 30, 2024 at 5:16 PM
Table 11 summarizes the notations needed to describe the first order differential extensions of propositional calculi in a systematic manner.

Table 11. Differential Extension • Basic Notation
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December 25, 2024 at 5:00 PM
Differential Extensions —

Table 11 summarizes the notations needed to describe the first order differential extensions of propositional calculi in a systematic manner.

Table 11. Differential Extension • Basic Notation
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December 22, 2024 at 2:08 PM
Figure 10. Singular Propositions on Three Variables
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At the top is the venn diagram for the singular proposition of rank 3, corresponding to the boolean product pqr and identical with the positive proposition of rank 3.
December 21, 2024 at 1:54 PM
The singular propositions s : Bⁿ → B may be written as products:
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In a universe of discourse based on three boolean variables, p, q, r, there are 2³ = 8 singular propositions. Their venn diagrams are shown in Figure 10.
December 21, 2024 at 1:54 PM
Figure 9. Positive Propositions on Three Variables
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At the top is the venn diagram for the positive proposition of rank 3, corresponding to the boolean product or logical conjunction pqr.
December 19, 2024 at 4:10 PM
Positive Propositions —

The positive propositions p : Bⁿ → B may be written as products:
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In a universe of discourse based on three boolean variables, p, q, r, there are 2³ = 8 positive propositions, taking the shapes shown in Figure 9.
December 19, 2024 at 4:10 PM
Figure 8. Linear Propositions on Three Variables
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December 18, 2024 at 2:20 PM
Linear Propositions —

The linear propositions ℓ : Bⁿ → B may be written as sums:
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December 18, 2024 at 2:20 PM
Singular Propositions s : Bⁿ → B may be written as products.
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December 16, 2024 at 10:00 PM
Positive Propositions p : Bⁿ → B may be written as products.
inquiryintoinquiry.files.wordpress.com/2020/02/posi...
December 16, 2024 at 10:00 PM
Linear Propositions ℓ : Bⁿ → B may be written as sums.
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December 16, 2024 at 10:00 PM
December 12, 2024 at 3:36 PM
Paint Creek • Rochester, Michigan
December 7, 2024 at 10:50 PM