Lincos (artificial Language) - Examples

Examples

An example of Lincos from section 3 of Freudenthal's book, showing one individual asking another individual questions:

Lincos text Meaning
Ha Inq Hb ?x 2x=5 Ha says to Hb: What is the x such that 2x=5?
Hb Inq Ha 5/2 Hb says to Ha: 5/2.
Ha Inq Hb Ben Ha says to Hb: Good.
Ha Inq Hb ?x 4x=10 Ha says to Hb: What is the x such that 4x=10?
Hb Inq Ha 10/4 Hb says to Ha: 10/4.
Ha Inq Hb Mal Ha says to Hb: Bad.
Hb Inq Ha 1/4 Hb says to Ha: 1/4.
Ha Inq Hb Mal Ha says to Hb: Bad.
Hb Inq Ha 5/2 Hb says to Ha: 5/2.
Ha Inq Hb Ben Ha says to Hb: Good.

Note the difference between "good" and "bad" as compared to "true" and "false"; 10/4 is a true answer to the question, so Ver ("true") would be a valid response, but since it wasn't reduced to lowest terms, it wasn't what Ha wanted and so he responded Mal ("bad") instead.

Another example, showing meta-conversation:

Lincos text Meaning
Ha Inq Hb ?x 4x=10 Ha says to Hb: What is the x such that 4x=10?
Hb Inq Hc ?y y Inq Hb ?x 4x=10 Hb says to Hc: Who asked me for the x such that 4x=10?
Hc Inq Hb Ha Hc says to Hb: Ha.

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