Joseph Henry Woodger (2 May 1894 – 8 March 1981) was a British theoretical biologist and philosopher of biology whose attempts to make biological sciences more rigorous and empirical was significantly influential to the philosophy of biology in the twentieth century. Karl Popper, the prominent philosopher of science, claimed "Woodger… influenced and stimulated the evolution of the philosophy of science in Britain and in the United States as hardly anybody else".
Joseph Woodger was born at Great Yarmouth in Norfolk, and studied at University College London from 1911 until 1922, except for a period serving in the First World War. He then became a reader at the University of London Middlesex Hospital Medical School. He became a professor there in 1947, and eventually retired in 1959 as emeritus professor of biology. He was a member of the Theoretical Biology Club along with Joseph Needham, Conrad Hal Waddington, John Desmond Bernal, and Dorothy Wrinch. Karl Popper described the club as "one of the most interesting study circles in the field of the philosophy of science."
Woodger was known to friends and family as "Socrates", and with his wife Eden (born Buckle) he lived at Epsom in Surrey, where they had four children. His eldest child was Mike Woodger (born 1923), a computer pioneer who worked with Alan Turing at the National Physical Laboratory, leading to the early Pilot ACE computer. Joseph Woodger died in 1981.