Lucky Duck Induction

Zero is a lucky duck.

Each lucky duck is a mom lucky duck.

Zero is not a baby lucky duck.

Each baby lucky duck has exactly one mom lucky duck.

If a farm has the zero lucky duck and the baby lucky duck of
each mom lucky duck on the farm, then the farm has all the lucky ducks.

Being a baby luck duck means it has a mom lucky duck.

A summary is:

Zero is a lucky duck.  Every lucky duck is a mom duck with one baby, but zero is not a baby, each baby has one mom and a farm with zero and the baby of each mom on the farm has all the lucky ducks.

A twitter version is:

Zero is a duck, not a baby. Each duck is a single mom with a single baby. A farm with zero and the baby of each mom on farm has all ducks.

Alternatively, we could write

Zero is a lucky duck.

Each lucky duck is a mom lucky duck.

Zero has no mom lucky duck.

Each lucky duck other than zero has exactly one mom lucky duck.

If a farm has the zero lucky duck and the baby lucky duck of
each mom lucky duck on the farm, then the farm has all the lucky ducks.

The first version works better.

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About New Math Done Right

Author of Pre-Algebra New Math Done Right Peano Axioms. A below college level self study book on the Peano Axioms and proofs of the associative and commutative laws of addition. President of Mathematical Finance Company. Provides economic scenario generators to financial institutions.
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3 Responses to Lucky Duck Induction

  1. Pingback: Giuseppe Peano 27 August 1858 – 20 April 1932 | New Math Done Right

  2. Pingback: Virginia Standards of Learning Kindergarten v Peano Axioms | New Math Done Right

  3. Pingback: Deaf need complete paragraphs in words on math | New Math Done Right

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