one, two, three, …, zero from counting to number bruno fullone george brown college

ONE, TWO, THREE, …, ZEROFrom Counting to Number

•Bruno Fullone

•George Brown College

Act of Counting Depends on:Act of Counting Depends on:

1. Identifying set1. Identifying set

2. Carrying out a one-to-one mapping2. Carrying out a one-to-one mapping

3. Arriving at the cardinality3. Arriving at the cardinality

Number Word FormationNumber Word Formation

Most common system of forming number Most common system of forming number words is by addition and multiplicationwords is by addition and multiplication

Some used subtractionSome used subtraction

Examples of Word Counting for 18Examples of Word Counting for 18

English: English: eighteeneighteen (8, 10) (8, 10)Lithuanian: Lithuanian: astuno-likaastuno-lika (8 over 10) (8 over 10)French: French: dix-huitdix-huit (10,8) (10,8) Chinese: Chinese: shih pashih pa (10, 8) (10, 8) Latin 1: Latin 1: decem et octodecem et octo (10 and 8) (10 and 8) Mexican: Mexican: caxtulli om eycaxtulli om ey (15 and 3) (15 and 3)Breton: Breton: tri ouchtri ouch (3, 6) (3, 6)Welsh: Welsh: deu nawdeu naw (2,9) (2,9)Latin 2: Latin 2: duo de vigintiduo de viginti (2 from 20) (2 from 20)Finnish: Finnish: kah deksan toistskah deksan toists (2 from 2nd tens) (2 from 2nd tens)

The AztecThe Aztec

Written NumeralsWritten Numerals

Sumerian Cuneiform System Sumerian Cuneiform System (at least since 27(at least since 27thth century BC) century BC)

Hindu Arabic NumeralsHindu Arabic Numerals