Jeb Bush, who was governor of Florida from 1999 to 2007, on Monday announced his candidacy for the Republican presidential nomination. A son of George Bush, the 41st president, and a younger brother of George W. Bush, the 43rd, he is known for sometimes bucking Republican orthodoxy. Here is a look at his stand on important issues.

Foreign Policy

Mr. Bush says that American combat forces should not be sent to Iraq to fight the group calling itself the Islamic State, but that some troops should be embedded with Iraqi forces there “to help train them, to identify targets.” He has called the Obama administration’s framework of an agreement with Iran to curb its nuclear program a “horrific deal” and, like fellow Republican contenders, said he would most likely cancel any final agreement reached by the administration should he become president. Mr. Bush calls himself “an unwavering supporter” of Israel and its prime minister, Benjamin Netanyahu, and distanced himself from recent comments by an adviser, former Secretary of State James A. Baker III, that were critical of Mr. Netanyahu. Mr. Bush opposes normalizing relations with Cuba; in early December, before President Obama moved to do so, Mr. Bush said that “instead of lifting the embargo, we should consider strengthening it.”

Immigration

Mr. Bush says he believes that people who are in this country illegally should be offered a path to legal status. “You pay your fines, you get provisional work permits, where you come out of the shadows, you pay taxes, you pay fines, you don’t receive government assistance, you learn English, you don’t commit crimes,” he said in February. “Any of those things that you do would be a deportable offense.” He also called, as many Republican candidates have, for tougher enforcement of immigration laws, including prosecuting businesses that hire undocumented aliens.

Same-Sex Marriage

Signaling his opposition to same-sex marriage, Mr. Bush says he believes in “traditional marriage.” But he has also suggested an openness to some form of recognition of same-sex unions. “I hope that we can show respect for the good people on all sides of the gay and lesbian marriage issue,” he said in January, “including couples making lifetime commitments to each other who are seeking greater legal protections and those of us who believe marriage is a sacrament and want to safeguard religious liberty.”