Heereboord sympathised with the new thinking of René Descartes, but was also influenced by Petrus Ramus and Francis Bacon. He clashed almost immediately at Leiden with Jacobus Revius and Adam Steuart, standing respectively for traditional metaphysics and theology. A combative drinker, Heereboord became an embattled figure in the university, with his private life the subject of pamphlets, and in the end dropped out of his duties.
His works included:
- Parallelismus Aristotelicae et Cartesianae Philosophiae naturalis (1643);
- Notae in John Maccovii metaphysicam (1652);
- Meletemata philosophica (1654) at Gallica;
- Philosophia rationalis moralis et naturalis (1654, with a second edition of Philosophia naturalis in 1660);
- Philosophia pneumatica (1659).
He also edited and published the logic of his teacher and predecessor at Leiden, Franco Burgersdijk, as Hermeneia Logica, seu explicatio synopseos logicae Burgersdicianae (1659) and Praxis logica (1659).
- (German) Biography in the Allgemeinen Deutschen Biographie
- Wiep van Bunge et al. (editors), The Dictionary of Seventeenth and Eighteenth-Century Dutch Philosophers (2003), Thoemmes Press (two volumes), article Heereboord, Adrian, p. 395–7.
- Ed van der Vlist, 'Het eerewoord van Heereboord. Een verstrooide brief van een verloren professor', Nieuw Letterkundig Magazijn 21 (2003), p. 40-48.