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- Robert Shaw (judge) (1907–1972), United States federal judge
- Robert Shaw (Ohio politician), Ohio State senator 1967–1972
- Sir Robert Shaw, 1st Baronet (1774–1849), Member of Parliament
- Robert Shaw (Canadian politician) (1845–1882), politician from Prince Edward Island, Canada
- Robert Shaw (physicist) (born 1946), American physicist
- Robert Barkley Shaw (1839–1879), British explorer and government agent
- Robert Fletcher Shaw (1910–2001), Canadian businessman, academic, and civil servant
- Robert Gould Shaw (1776–1853), father of Quincy Adams Shaw and grandfather of Robert Gould Shaw (1837–1863)
- Robert Gould Shaw (1837–1863), Union Army Colonel during the American Civil War
- Robert Gould Shaw II (1872–1930), wealthy Massachusetts landowner
- Robert Shaw (business writer) (born 1950), business author and consultant on the field of marketing
- Robert Shaw (Royal Navy officer) (1900–1995), English Royal Navy officer and cricketer
- Robert S. Shaw (1871–1953), president of the Michigan State College of Agriculture and Applied Science, 1928–1941
- Robert L. Shaw, politician from Alberta, Canada
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