---
title: "HM.LMIR.7: Modern Mathematicians' Contributions (Georgia Mathematics standard)"
code: HM.LMIR.7
cite_as: Georgia Standards of Excellence, Mathematics, HM.LMIR.7
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/HM.LMIR.7
md_url: https://georgiahomeroom.org/standards/code/HM.LMIR.7.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/HM.LMIR.7.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# HM.LMIR.7: Modern Mathematicians' Contributions

Investigate and describe modern mathematicians and their contributions to mathematics.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- The modern nature of mathematics
  - **HM.LMIR.7.1**: Investigate the implications of infinite sets of real numbers.
  - **HM.LMIR.7.2**: Compare and contrast denumerable and nondenumerable sets.
  - **HM.LMIR.7.3**: Identify algebraic and transcendental numbers.
  - **HM.LMIR.7.4**: Describe the mathematical contributions of Cantor.
  - **HM.LMIR.7.5**: Describe the implications of Klein’s Erlangen Programme and Gödel's Incompleteness Theorem on the nature of mathematical discovery and proof.
- The modern nature of mathematicians
  - **HM.LMIR.7.6**: Explore the history of 20th century African American mathematicians and describe their contributions to mathematics.
  - **HM.LMIR.7.7**: Explore the history of 20th century female mathematicians and describe their contributions to mathematics.
  - **HM.LMIR.7.8**: Explore the history of 20th century Indian, Asian, Hispanic, Latin American mathematicians and describe their contributions to mathematics.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.