Construct Theories for Which the Following Interpretation Is a Model

question 270

Essay

construct theories for which the following interpretation is a model (i.e. construct at least two sentences which are true under the given interpretation).
Domain = {1, 2, 3, ..., 28, 29, 30}
E = {2, 4, 6, ..., 28, 30}
O = {1, 3, 5, ..., 27, 29}
P = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
a = 1 d = 19
b = 2 e = 23
c = 3 f = 29
-Construct a theory of at least three sentences which uses all three predicates and at least three different constants.

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Definitions:

Lecithin

A fatty substance found in plant and animal tissues, composed of phospholipids, and is used as an emulsifier in food and pharmaceutical products.

Diterpene

A type of terpene consisting of four isoprene units, making up 20 carbon atoms, often found in essential oils and used in medicines and perfumes.

Prostaglandin

A collection of lipid compounds that are physiologically active and exhibit various hormone-like actions in animals.

Carboxyl Group

A functional group consisting of a carbon atom double-bonded to an oxygen atom and single-bonded to a hydroxyl group, denoted as -COOH in organic compounds.