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Worked Examples

Each example follows the complete writing procedure: Thought → Decompose → Select Operations → Draw → Verify. Step through them at your own pace.

SimpleSingle claim, direct mappingCompoundMultiple claims or nested structureAdvancedComplex embedding or quantification
1

Knowledge is structured truth.

simple
4 decomposition steps • 2 operations
identitymodifierdefinition
💡 The "is" of definition uses 0° (identity) between transformed entities.
2

Evolution is a process where simple things become complex things.

compound
4 decomposition steps • 3 operations
processtransformationcurvedefinition
3

If the temperature drops, then water freezes.

compound
4 decomposition steps • 3 operations
conditionalembedcausationnested
💡 "If-then" becomes an embedded fact connected causally to the conclusion.
4

Democracy is a system where all members collectively govern themselves.

advanced
4 decomposition steps • 4 operations
quantificationself-referencedefinitionloop
💡 Self-reference creates a loop. "All" uses a large/scaled entity.
5

Art transforms suffering into beauty, but science transforms suffering into knowledge.

advanced
4 decomposition steps • 2 operations
conjunctioncontrastparallelshared-entity
💡 Contrast emerges from parallel structure with shared entity and different outcomes.
6

Love is patient.

simple
4 decomposition steps • 2 operations
propertymodify-entityambiguity
💡 Test: Can you replace "is [adjective]" with "has the property of [noun]"? If yes → modify_entity, not predicate.
7

Love is patient AND love is strong.

compound
4 decomposition steps • 3 operations
conjunctionpropertiesshared-subject
8

Either the answer is true OR the answer is false.

compound
4 decomposition steps • 3 operations
disjunctionnegationopposites
9

Love is NOT indifferent.

simple
4 decomposition steps • 2 operations
negationproperty90-degree
💡 Indifference = 90° (orthogonal/unrelated). Negation can use strike-through as practical shorthand.
10

Peace emerges when harmony overcomes conflict.

advanced
4 decomposition steps • 5 operations
conditionalembednestedprocessopposition
💡 Complex conditionals use embedding: the "when" clause becomes a fact-entity that causes the result.

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Worked Examples — The Cosmic Codex