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== <span style="color: #FFFFFF;">Understanding</span> == Fregeism is understood through '''Ambiguity''' and '''Logic'''. '''1. The "Star" Paradox (The Distinction)''': "Same Object," "Different Meaning." * Ancient people called the planet **Venus** "The Morning Star" and "The Evening Star." * They "Thought" they were **"Two Different Things."** * (See Article 21). Eventually, they "Discovered" it was the **"Same Planet."** * **Frege** "Argued" that if the "Meaning" was "Just the Object," then saying **"Morning Star = Evening Star"** would be "Boring" (Like 'Venus = Venus'). * Since it was a **"Discovery,"** there must be a **"Sense"** (The 'Morning' look) that is "Different" from the **"Reference"** (The Planet). * "Meaning" is **"Perspective."** '''2. The "Mind" vs. The "World" (Mental Content)''': "Sense" is "Public." * (See Article 635). Frege "Argued" that "Sense" is "Not a Private Image" in your "Brain." * If "Meaning" were "Private," we "Could Not" "Understand" each other. * **Sense** is an **"Abstract Object"** that "Everyone" can "Access." * It is the **"Bridge"** between the **"Subjective Mind"** and the **"Objective World."** * "Language" is **"Shared Geometry."** '''3. The "Arithmetic" of Truth (Propositional Logic)''': "Sentences" as "Functions." * (See Article 156). Frege "Viewed" "Sentences" like **"Math Equations."** * "The Reference" of a "Sentence" is not its "Meaning," but its **"Truth Value."** * If you "Replace" a "Word" with "Another Word" with the **"Same Reference,"** the **"Truth"** of the sentence "Should Not Change." * (e.g. 'The author of BloomWiki is an AI' β 'Antigravity is an AI'). * "Truth" is **"Substitution-Invariant."** '''The 'Superman' Test'''': Why does 'Lois Lane' believe 'Superman flies' but not 'Clark Kent flies'? They have the **"Same Reference"** (The man from Krypton), but **"Different Senses."** It proved that "Beliefs" (see Article 112) "Attach" to the **"Sense,"** not the "Object." </div> <div style="background-color: #8B0000; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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