2. There should be surveillance on US mosques. Trump believes Muslims should be tracked by law enforcement as a counterterrorism initiative. He has backed off comments about keeping a database on all American Muslims, but says he doesn't care if watching mosques is seen as "politically incorrect".
3. Rating women by their looks. A video from 2005 showed Trump making obscene comments about women and triggered numerous claims of alleged sexual harassment. In one of the cases, he suggested at a rally that one of the accusers was not attractive enough to be there: "I don't think so! I don't think so!" People who worked in his reality TV show The Apprentice accused him of rating female contestants by their looks. A former Miss Universe accused him of calling her "Miss Piggy" after she gained weight.
4. 35 is "check-out time" for women. In audio recordings released by CNN, Trump allegedly talks about his daughter's physique and dating young women, saying that women who are 30 years old are at a "perfect age", and that when they reach 35, it is time to "check out".
5. The US should use waterboarding and other methods of "strong interrogation" in its fight against the Islamic State group. The candidate said that these methods are "peanuts" compared to the tactics used by the militants, such as beheadings.
6. Trump would "bomb the hell" out of IS. He claims that no other candidate would be tougher and he would weaken the militants by cutting off their access to oil.
7. The world would be better off if Saddam Hussein and Muammar Gaddafi were still in power. Trump told CNN that he believes the situation in both Libya and Iraq is "far worse" than it ever was under the two deceased dictators. While he concedes Saddam was a "horrible guy", he says he did a better job combating terrorists. "He was a bad guy - really bad guy. But you know what? He did well? He killed terrorists. He did that so good. They didn't read them the rights. They didn't talk. They were terrorists. Over."
8. He wants to build a "great, great wall" between the US and Mexico. In some of his earliest campaign comments, Trump suggested that Mexicans coming to the US are largely criminals. "They are bringing drugs, and bringing crime, and they're rapists," he said. A wall on the border, he claims, will not only keep out undocumented immigrants but Syrian migrants as well. He also believes that Mexico should have to pay for the wall, which a BBC analysis estimates could cost between $2.2bn and $13bn.
9. A mass deportation of the estimated 11 million illegal immigrants living in the US should go into effect. Despite criticism that this idea is both xenophobic and prohibitively expensive - the BBC estimates $114bn - Trump says his deportation plan is as achievable as it will be humane. In addition, his immigration reforms would end "birthright citizenship", the policy that grants the children of illegal immigrants citizenship so long as they are born on American soil. He does not support creating a new path to citizenship for undocumented workers.
10. Muslims should not be admitted to the US. In a press release published in the wake of the terrorist attacks in San Bernardino, California, Trump wrote that he is "calling for a total and complete shutdown of Muslims entering the United States until our country's representatives can figure out what is going on". The release created a huge backlash, including a petition submitted to British Parliament demanding that Trump not be allowed into the country. He's since gone back on the announcement, instead saying that he would put in place "extreme vetting" for anyone wishing to immigrate to the US.
11. He would send back Syrian migrants seeking asylum in the US. He says that the Paris attacks prove that even a handful of terrorists posing as migrants could do catastrophic damage, and so he will oppose resettling any Syrians in the US, and deport those who have already been placed here.
12. In order to end mass shootings, the US should invest in mental health treatment. However, Trump does not believe that more gun control is the answer. In a position paper on gun rights, Trump revealed he has a concealed carry permit and that when it comes to gun and magazine bans, "the government has no business dictating what types of firearms good, honest people are allowed to own". He would also oppose an expansion of background checks.
13. Vladimir Putin is a "leader". He has praised the Russian president's leadership and criticised the state of the relations between the two countries. In an interview with CNN, Trump said: "I would probably get along with him very well. And I don't think you'd be having the kind of problems that you're having right now".
14. Create a simpler tax code. Trump wants anyone who earns less than $25,000 (£16,500) to pay no income tax. They would submit nothing more than a single page tax form that reads "I win". He would lower the business tax to 15%. He would also allow multinational companies keeping money overseas to repatriate their cash at a 10% tax rate.
15. Hedge fund managers are "getting away with murder" under the current US tax code. Trump found common ground with Democrats like Senator Elizabeth Warren when he said that hedge fund managers and the ultra-wealthy do not pay enough taxes. However, after the campaign released specifics of his plan, analysts argued that hedge fund managers would actually get a tax cut along with the middle class.
16. China should be taken to task on a number of issues in order to make trade with the US more equitable. He says he will make China stop undervaluing its currency, and force it to step up its environmental and labour standards. He is also critical of the county's lax attitude towards American intellectual property and hacking.
17. Current unemployment statistics are wrong. Trump has said repeatedly that unemployment in the US is at 20% - once commenting it may be as high as 42% - despite the fact that the Bureau of Labor Statistics pegs the number at 5.1%. Trump says he doesn't believe that figure is real.
18. The Black Lives Matter movement is "trouble". Trump mocks former Democratic candidates like Martin O'Malley for apologising to members of the protest movement against police brutality and casts himself as a pro-law enforcement candidate. "I think they're looking for trouble," he once said of the activist group. He also tweeted a controversial graphic purporting to show that African Americans kill white and black people at far higher rates than white people or police officers. However, the graphic cites a fictitious "Crime Statistics Bureau" for its numbers, and has been widely debunked using real FBI data.
19. His net worth is $10bn. Based on Trump's 92-page personal financial disclosure form, Bloomberg calculated that the real estate mogul is worth about $2.9bn and Forbes put Trump's worth at $4bn. In response, Trump insisted in a press release that he is worth "in excess of TEN BILLION DOLLARS". He is "self-funding" his campaign and describes his start in the business world as a "small loan of a million dollars" from his father.
20. Veteran healthcare in the US needs a major overhaul. Trump wants to clear out the executive level in the Department of Veterans Affairs, saying that waiting times for doctor visits have only increased after previous interventions failed. Thousands of veterans have died while waiting for care, he says. He will invest in the treatment of "invisible wounds" like post-traumatic stress disorder and depression. He would also increase the number of doctors who specialise in women's health to help care for the increasing number of female veterans.
21. Obamacare is a "disaster". Trump says he favours repealing the president's Affordable Care Act, which aims at extending the number of Americans with health insurance, but he believes that "everybody's got to be covered". A spokesman for Trump told Forbes that he will propose "a health plan that will return authority to the states and operate under free market principles".
22. Climate change is just "weather". While Trump believes that maintaining "clean air" and "clean water" is important, he dismissed climate change science as a "hoax" and believes environmental restrictions on businesses make them less competitive in the global marketplace. "I do not believe that we should imperil the companies within our country," he told CNN on the issue. "It costs so much and nobody knows exactly if it's going to work."
23. Lobbyists should be more restricted. The candidate proposes that there be a five-year ban that prevents government officials from leaving and then immediately becoming lobbyists. He also calls for a lifetime ban on senior administration officials from lobbying on behalf of foreign governments, and has called on Congress to change campaign finance laws to ban those people that lobby for foreign governments from raising funds for US elections.
24. He is a "really nice guy". In Trump's most recent book, Crippled America, he writes that "I'm a really nice guy, believe me, I pride myself on being a nice guy but I'm also passionate and determined to make our country great again". The news site Gawker points out that he calls himself a "nice guy" throughout the book, and Trump repeated that self-assessment in his opening monologue on Saturday Night Live and in an interview with the Washington Post.
25. Tokyo and Seoul should build up nuclear arsenals. He has said Japan and South Korea should not rely on the US so much and would benefit from having their own weapons. Nuclear war between Japan and North Korea may be "terrible" but it would be "pretty quick".
26. The North Atlantic Treaty Organization (Nato) is a "rip-off" because the US pays more than anyone else. But he later said he was "all" for the alliance.
27. Doctors should be punished for administering abortions - or should they? In an interview with MSNBC, Trump said that if abortion were to become illegal, women should be punished for obtaining them. He then retracted, saying the doctor would be responsible and he or she should be punished instead.
28. The Republican National Committee's rules were "stacked against him". He called the delegate system "crooked" and "unfair". He repeatedly clashed with the RNC over its nomination process and how it treated his candidacy during the primaries. He called rules that allowed Senator Ted Cruz to gain more delegates than him in some states "rigged", as he did later when talking about the electoral process when polls were showing Hillary Clinton ahead of him.
29. The federal minimum wage should be raised from its present level of $7.25/hour.
30. Hillary Clinton bribed Attorney General Loretta Lynch with the promise of keeping her job if she became president, in return for escaping prosecution for the use of a private email server when secretary of state. He also said she destroyed the women who accused her husband Bill of impropriety. George Stephanopoulos, a former aide to Bill Clinton, wrote in his memoir that in 1991 when a woman came forward to accuse Mr Clinton of having an affair, Mrs Clinton said: "We have to destroy her story."